Finding the Third Proportional to 2,583.75 and 5,605.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.75 : 5,605.13 = 5,605.13 : x
2. Step 2: Convert to fraction form
   2,583.75/5,605.13 = 5,605.13/x
3. Step 3: Cross multiply
   2,583.75x = 5,605.13 × 5,605.13
4. Step 4: Simplify right side
   2,583.75x = 31,417,426.27
5. Step 5: Solve for x
   x = 31,417,426.27/2,583.75
6. Step 6: Final answer
   x = 12,159.62