Finding the Third Proportional to 2,527.29 and 5,178.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.29 : 5,178.46 = 5,178.46 : x
2. Step 2: Convert to fraction form
   2,527.29/5,178.46 = 5,178.46/x
3. Step 3: Cross multiply
   2,527.29x = 5,178.46 × 5,178.46
4. Step 4: Simplify right side
   2,527.29x = 26,816,477.91
5. Step 5: Solve for x
   x = 26,816,477.91/2,527.29
6. Step 6: Final answer
   x = 10,610.74