Finding the Third Proportional to 17,737.50 and 23,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,737.50 : 23,668.50 = 23,668.50 : x
2. Step 2: Convert to fraction form
   17,737.50/23,668.50 = 23,668.50/x
3. Step 3: Cross multiply
   17,737.50x = 23,668.50 × 23,668.50
4. Step 4: Simplify right side
   17,737.50x = 560,197,892.25
5. Step 5: Solve for x
   x = 560,197,892.25/17,737.50
6. Step 6: Final answer
   x = 31,582.69