Finding the Third Proportional to 10,288.50 and 15,434.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288.50 : 15,434.25 = 15,434.25 : x
2. Step 2: Convert to fraction form
   10,288.50/15,434.25 = 15,434.25/x
3. Step 3: Cross multiply
   10,288.50x = 15,434.25 × 15,434.25
4. Step 4: Simplify right side
   10,288.50x = 238,216,073.06
5. Step 5: Solve for x
   x = 238,216,073.06/10,288.50
6. Step 6: Final answer
   x = 23,153.63