Finding the Third Proportional to 10,761 and 16,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,761 : 16,414.50 = 16,414.50 : x
2. Step 2: Convert to fraction form
   10,761/16,414.50 = 16,414.50/x
3. Step 3: Cross multiply
   10,761x = 16,414.50 × 16,414.50
4. Step 4: Simplify right side
   10,761x = 269,435,810.25
5. Step 5: Solve for x
   x = 269,435,810.25/10,761
6. Step 6: Final answer
   x = 25,038.18