Finding the Third Proportional to 2,580.19 and 5,655.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.19 : 5,655.02 = 5,655.02 : x
2. Step 2: Convert to fraction form
   2,580.19/5,655.02 = 5,655.02/x
3. Step 3: Cross multiply
   2,580.19x = 5,655.02 × 5,655.02
4. Step 4: Simplify right side
   2,580.19x = 31,979,290.08
5. Step 5: Solve for x
   x = 31,979,290.08/2,580.19
6. Step 6: Final answer
   x = 12,394.17