Finding the Third Proportional to 37,930 and 88,641

Step by Step Solution

1. Step 1: Write the proportion equation
   37,930 : 88,641 = 88,641 : x
2. Step 2: Convert to fraction form
   37,930/88,641 = 88,641/x
3. Step 3: Cross multiply
   37,930x = 88,641 × 88,641
4. Step 4: Simplify right side
   37,930x = 7,857,226,881
5. Step 5: Solve for x
   x = 7,857,226,881/37,930
6. Step 6: Final answer
   x = 207,150.72