Finding the Third Proportional to 2,532.52 and 3,772.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.52 : 3,772.41 = 3,772.41 : x
2. Step 2: Convert to fraction form
   2,532.52/3,772.41 = 3,772.41/x
3. Step 3: Cross multiply
   2,532.52x = 3,772.41 × 3,772.41
4. Step 4: Simplify right side
   2,532.52x = 14,231,048.92
5. Step 5: Solve for x
   x = 14,231,048.92/2,532.52
6. Step 6: Final answer
   x = 5,619.33