Finding the Third Proportional to 10,771.50 and 15,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,771.50 : 15,802.50 = 15,802.50 : x
2. Step 2: Convert to fraction form
   10,771.50/15,802.50 = 15,802.50/x
3. Step 3: Cross multiply
   10,771.50x = 15,802.50 × 15,802.50
4. Step 4: Simplify right side
   10,771.50x = 249,719,006.25
5. Step 5: Solve for x
   x = 249,719,006.25/10,771.50
6. Step 6: Final answer
   x = 23,183.31