Finding the Third Proportional to 10,509 and 14,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509 : 14,689.50 = 14,689.50 : x
2. Step 2: Convert to fraction form
   10,509/14,689.50 = 14,689.50/x
3. Step 3: Cross multiply
   10,509x = 14,689.50 × 14,689.50
4. Step 4: Simplify right side
   10,509x = 215,781,410.25
5. Step 5: Solve for x
   x = 215,781,410.25/10,509
6. Step 6: Final answer
   x = 20,533.01