Finding the Third Proportional to 2,569.85 and 5,580.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.85 : 5,580.14 = 5,580.14 : x
2. Step 2: Convert to fraction form
   2,569.85/5,580.14 = 5,580.14/x
3. Step 3: Cross multiply
   2,569.85x = 5,580.14 × 5,580.14
4. Step 4: Simplify right side
   2,569.85x = 31,137,969.39
5. Step 5: Solve for x
   x = 31,137,969.39/2,569.85
6. Step 6: Final answer
   x = 12,116.64