Finding the Third Proportional to 2,563.88 and 5,522.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.88 : 5,522.63 = 5,522.63 : x
2. Step 2: Convert to fraction form
   2,563.88/5,522.63 = 5,522.63/x
3. Step 3: Cross multiply
   2,563.88x = 5,522.63 × 5,522.63
4. Step 4: Simplify right side
   2,563.88x = 30,499,386.89
5. Step 5: Solve for x
   x = 30,499,386.89/2,563.88
6. Step 6: Final answer
   x = 11,895.82