Finding the Third Proportional to 2,562.19 and 5,527.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.19 : 5,527.69 = 5,527.69 : x
2. Step 2: Convert to fraction form
   2,562.19/5,527.69 = 5,527.69/x
3. Step 3: Cross multiply
   2,562.19x = 5,527.69 × 5,527.69
4. Step 4: Simplify right side
   2,562.19x = 30,555,329.10
5. Step 5: Solve for x
   x = 30,555,329.10/2,562.19
6. Step 6: Final answer
   x = 11,925.49