Finding the Third Proportional to 1,550.13 and 3,658.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,550.13 : 3,658.59 = 3,658.59 : x
2. Step 2: Convert to fraction form
   1,550.13/3,658.59 = 3,658.59/x
3. Step 3: Cross multiply
   1,550.13x = 3,658.59 × 3,658.59
4. Step 4: Simplify right side
   1,550.13x = 13,385,308.23
5. Step 5: Solve for x
   x = 13,385,308.23/1,550.13
6. Step 6: Final answer
   x = 8,634.99