Finding the Third Proportional to 20,792 and 39,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,792 : 39,668.50 = 39,668.50 : x
2. Step 2: Convert to fraction form
   20,792/39,668.50 = 39,668.50/x
3. Step 3: Cross multiply
   20,792x = 39,668.50 × 39,668.50
4. Step 4: Simplify right side
   20,792x = 1,573,589,892.25
5. Step 5: Solve for x
   x = 1,573,589,892.25/20,792
6. Step 6: Final answer
   x = 75,682.47