Finding the Third Proportional to 6,354 and 14,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,354 : 14,359.50 = 14,359.50 : x
2. Step 2: Convert to fraction form
   6,354/14,359.50 = 14,359.50/x
3. Step 3: Cross multiply
   6,354x = 14,359.50 × 14,359.50
4. Step 4: Simplify right side
   6,354x = 206,195,240.25
5. Step 5: Solve for x
   x = 206,195,240.25/6,354
6. Step 6: Final answer
   x = 32,451.25