Finding the Third Proportional to 2,632.50 and 4,144.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 4,144.92 = 4,144.92 : x
2. Step 2: Convert to fraction form
   2,632.50/4,144.92 = 4,144.92/x
3. Step 3: Cross multiply
   2,632.50x = 4,144.92 × 4,144.92
4. Step 4: Simplify right side
   2,632.50x = 17,180,377.35
5. Step 5: Solve for x
   x = 17,180,377.35/2,632.50
6. Step 6: Final answer
   x = 6,526.26