Finding the Third Proportional to 2,647.31 and 5,659.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.31 : 5,659.13 = 5,659.13 : x
2. Step 2: Convert to fraction form
   2,647.31/5,659.13 = 5,659.13/x
3. Step 3: Cross multiply
   2,647.31x = 5,659.13 × 5,659.13
4. Step 4: Simplify right side
   2,647.31x = 32,025,695.77
5. Step 5: Solve for x
   x = 32,025,695.77/2,647.31
6. Step 6: Final answer
   x = 12,097.44