Finding the Third Proportional to 17,724.50 and 38,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724.50 : 38,668.50 = 38,668.50 : x
2. Step 2: Convert to fraction form
   17,724.50/38,668.50 = 38,668.50/x
3. Step 3: Cross multiply
   17,724.50x = 38,668.50 × 38,668.50
4. Step 4: Simplify right side
   17,724.50x = 1,495,252,892.25
5. Step 5: Solve for x
   x = 1,495,252,892.25/17,724.50
6. Step 6: Final answer
   x = 84,360.79