Finding the Third Proportional to 21,770 and 45,872

Step by Step Solution

1. Step 1: Write the proportion equation
   21,770 : 45,872 = 45,872 : x
2. Step 2: Convert to fraction form
   21,770/45,872 = 45,872/x
3. Step 3: Cross multiply
   21,770x = 45,872 × 45,872
4. Step 4: Simplify right side
   21,770x = 2,104,240,384
5. Step 5: Solve for x
   x = 2,104,240,384/21,770
6. Step 6: Final answer
   x = 96,657.80