Finding the Third Proportional to 3,637 and 5,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,637 : 5,597.50 = 5,597.50 : x
2. Step 2: Convert to fraction form
   3,637/5,597.50 = 5,597.50/x
3. Step 3: Cross multiply
   3,637x = 5,597.50 × 5,597.50
4. Step 4: Simplify right side
   3,637x = 31,332,006.25
5. Step 5: Solve for x
   x = 31,332,006.25/3,637
6. Step 6: Final answer
   x = 8,614.79