Finding the Third Proportional to 7,639.50 and 16,200.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,639.50 : 16,200.75 = 16,200.75 : x
2. Step 2: Convert to fraction form
   7,639.50/16,200.75 = 16,200.75/x
3. Step 3: Cross multiply
   7,639.50x = 16,200.75 × 16,200.75
4. Step 4: Simplify right side
   7,639.50x = 262,464,300.56
5. Step 5: Solve for x
   x = 262,464,300.56/7,639.50
6. Step 6: Final answer
   x = 34,356.21