Finding the Third Proportional to 10,902 and 16,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,902 : 16,366.50 = 16,366.50 : x
2. Step 2: Convert to fraction form
   10,902/16,366.50 = 16,366.50/x
3. Step 3: Cross multiply
   10,902x = 16,366.50 × 16,366.50
4. Step 4: Simplify right side
   10,902x = 267,862,322.25
5. Step 5: Solve for x
   x = 267,862,322.25/10,902
6. Step 6: Final answer
   x = 24,570.02