Finding the Third Proportional to 5,200.88 and 5,605.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.88 : 5,605.88 = 5,605.88 : x
2. Step 2: Convert to fraction form
   5,200.88/5,605.88 = 5,605.88/x
3. Step 3: Cross multiply
   5,200.88x = 5,605.88 × 5,605.88
4. Step 4: Simplify right side
   5,200.88x = 31,425,834.52
5. Step 5: Solve for x
   x = 31,425,834.52/5,200.88
6. Step 6: Final answer
   x = 6,042.41