Finding the Third Proportional to 2,527.88 and 5,124.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.88 : 5,124.94 = 5,124.94 : x
2. Step 2: Convert to fraction form
   2,527.88/5,124.94 = 5,124.94/x
3. Step 3: Cross multiply
   2,527.88x = 5,124.94 × 5,124.94
4. Step 4: Simplify right side
   2,527.88x = 26,264,984.38
5. Step 5: Solve for x
   x = 26,264,984.38/2,527.88
6. Step 6: Final answer
   x = 10,390.14