Finding the Third Proportional to 10,765 and 16,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,765 : 16,471.50 = 16,471.50 : x
2. Step 2: Convert to fraction form
   10,765/16,471.50 = 16,471.50/x
3. Step 3: Cross multiply
   10,765x = 16,471.50 × 16,471.50
4. Step 4: Simplify right side
   10,765x = 271,310,312.25
5. Step 5: Solve for x
   x = 271,310,312.25/10,765
6. Step 6: Final answer
   x = 25,203.00