Finding the Third Proportional to 2,581.88 and 5,663.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.88 : 5,663.25 = 5,663.25 : x
2. Step 2: Convert to fraction form
   2,581.88/5,663.25 = 5,663.25/x
3. Step 3: Cross multiply
   2,581.88x = 5,663.25 × 5,663.25
4. Step 4: Simplify right side
   2,581.88x = 32,072,400.56
5. Step 5: Solve for x
   x = 32,072,400.56/2,581.88
6. Step 6: Final answer
   x = 12,422.14