Finding the Third Proportional to 2,500.88 and 3,782.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500.88 : 3,782.53 = 3,782.53 : x
2. Step 2: Convert to fraction form
   2,500.88/3,782.53 = 3,782.53/x
3. Step 3: Cross multiply
   2,500.88x = 3,782.53 × 3,782.53
4. Step 4: Simplify right side
   2,500.88x = 14,307,542.66
5. Step 5: Solve for x
   x = 14,307,542.66/2,500.88
6. Step 6: Final answer
   x = 5,721.01