Finding the Third Proportional to 9,688.50 and 15,792.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.50 : 15,792.75 = 15,792.75 : x
2. Step 2: Convert to fraction form
   9,688.50/15,792.75 = 15,792.75/x
3. Step 3: Cross multiply
   9,688.50x = 15,792.75 × 15,792.75
4. Step 4: Simplify right side
   9,688.50x = 249,410,952.56
5. Step 5: Solve for x
   x = 249,410,952.56/9,688.50
6. Step 6: Final answer
   x = 25,742.99