Finding the Third Proportional to 10,257.50 and 14,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.50 : 14,668.50 = 14,668.50 : x
2. Step 2: Convert to fraction form
   10,257.50/14,668.50 = 14,668.50/x
3. Step 3: Cross multiply
   10,257.50x = 14,668.50 × 14,668.50
4. Step 4: Simplify right side
   10,257.50x = 215,164,892.25
5. Step 5: Solve for x
   x = 215,164,892.25/10,257.50
6. Step 6: Final answer
   x = 20,976.35