Finding the Third Proportional to 11,680,781,561,718 and 17,171,267,069,184

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680,781,561,718 : 17,171,267,069,184 = 17,171,267,069,184 : x
2. Step 2: Convert to fraction form
   11,680,781,561,718/17,171,267,069,184 = 17,171,267,069,184/x
3. Step 3: Cross multiply
   11,680,781,561,718x = 17,171,267,069,184 × 17,171,267,069,184
4. Step 4: Simplify right side
   11,680,781,561,718x = 294,852,412,761,242,884,536,008,704
5. Step 5: Solve for x
   x = 294,852,412,761,242,884,536,008,704/11,680,781,561,718
6. Step 6: Final answer
   x = 25,242,524,329,671.33