Finding the Third Proportional to 2,632.50 and 5,766.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 5,766.19 = 5,766.19 : x
2. Step 2: Convert to fraction form
   2,632.50/5,766.19 = 5,766.19/x
3. Step 3: Cross multiply
   2,632.50x = 5,766.19 × 5,766.19
4. Step 4: Simplify right side
   2,632.50x = 33,248,918.29
5. Step 5: Solve for x
   x = 33,248,918.29/2,632.50
6. Step 6: Final answer
   x = 12,630.17