Finding the Third Proportional to 2,259.14 and 5,612.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.14 : 5,612.41 = 5,612.41 : x
2. Step 2: Convert to fraction form
   2,259.14/5,612.41 = 5,612.41/x
3. Step 3: Cross multiply
   2,259.14x = 5,612.41 × 5,612.41
4. Step 4: Simplify right side
   2,259.14x = 31,499,191.61
5. Step 5: Solve for x
   x = 31,499,191.61/2,259.14
6. Step 6: Final answer
   x = 13,943.00