Finding the Third Proportional to 2,532.52 and 4,006.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.52 : 4,006.55 = 4,006.55 : x
2. Step 2: Convert to fraction form
   2,532.52/4,006.55 = 4,006.55/x
3. Step 3: Cross multiply
   2,532.52x = 4,006.55 × 4,006.55
4. Step 4: Simplify right side
   2,532.52x = 16,052,417.86
5. Step 5: Solve for x
   x = 16,052,417.86/2,532.52
6. Step 6: Final answer
   x = 6,338.53