Finding the Third Proportional to 17,724.50 and 38,668.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724.50 : 38,668.75 = 38,668.75 : x
2. Step 2: Convert to fraction form
   17,724.50/38,668.75 = 38,668.75/x
3. Step 3: Cross multiply
   17,724.50x = 38,668.75 × 38,668.75
4. Step 4: Simplify right side
   17,724.50x = 1,495,272,226.56
5. Step 5: Solve for x
   x = 1,495,272,226.56/17,724.50
6. Step 6: Final answer
   x = 84,361.88