Finding the Third Proportional to 37,932 and 88,638

Step by Step Solution

1. Step 1: Write the proportion equation
   37,932 : 88,638 = 88,638 : x
2. Step 2: Convert to fraction form
   37,932/88,638 = 88,638/x
3. Step 3: Cross multiply
   37,932x = 88,638 × 88,638
4. Step 4: Simplify right side
   37,932x = 7,856,695,044
5. Step 5: Solve for x
   x = 7,856,695,044/37,932
6. Step 6: Final answer
   x = 207,125.78