Finding the Third Proportional to 10,600 and 14,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600 : 14,535.50 = 14,535.50 : x
2. Step 2: Convert to fraction form
   10,600/14,535.50 = 14,535.50/x
3. Step 3: Cross multiply
   10,600x = 14,535.50 × 14,535.50
4. Step 4: Simplify right side
   10,600x = 211,280,760.25
5. Step 5: Solve for x
   x = 211,280,760.25/10,600
6. Step 6: Final answer
   x = 19,932.15