Finding the Third Proportional to 2,612.57 and 5,686.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,612.57 : 5,686.45 = 5,686.45 : x
2. Step 2: Convert to fraction form
   2,612.57/5,686.45 = 5,686.45/x
3. Step 3: Cross multiply
   2,612.57x = 5,686.45 × 5,686.45
4. Step 4: Simplify right side
   2,612.57x = 32,335,749.14
5. Step 5: Solve for x
   x = 32,335,749.14/2,612.57
6. Step 6: Final answer
   x = 12,377.01