Finding the Third Proportional to 2,377.50 and 3,658.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.50 : 3,658.88 = 3,658.88 : x
2. Step 2: Convert to fraction form
   2,377.50/3,658.88 = 3,658.88/x
3. Step 3: Cross multiply
   2,377.50x = 3,658.88 × 3,658.88
4. Step 4: Simplify right side
   2,377.50x = 13,387,366.27
5. Step 5: Solve for x
   x = 13,387,366.27/2,377.50
6. Step 6: Final answer
   x = 5,630.86