Finding the Third Proportional to 38,596 and 57,732

Step by Step Solution

1. Step 1: Write the proportion equation
   38,596 : 57,732 = 57,732 : x
2. Step 2: Convert to fraction form
   38,596/57,732 = 57,732/x
3. Step 3: Cross multiply
   38,596x = 57,732 × 57,732
4. Step 4: Simplify right side
   38,596x = 3,332,983,824
5. Step 5: Solve for x
   x = 3,332,983,824/38,596
6. Step 6: Final answer
   x = 86,355.68