Finding the Third Proportional to 2,632.50 and 5,778.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 5,778.56 = 5,778.56 : x
2. Step 2: Convert to fraction form
   2,632.50/5,778.56 = 5,778.56/x
3. Step 3: Cross multiply
   2,632.50x = 5,778.56 × 5,778.56
4. Step 4: Simplify right side
   2,632.50x = 33,391,784.57
5. Step 5: Solve for x
   x = 33,391,784.57/2,632.50
6. Step 6: Final answer
   x = 12,684.44