Finding the Third Proportional to 2,527.88 and 3,713.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.88 : 3,713.34 = 3,713.34 : x
2. Step 2: Convert to fraction form
   2,527.88/3,713.34 = 3,713.34/x
3. Step 3: Cross multiply
   2,527.88x = 3,713.34 × 3,713.34
4. Step 4: Simplify right side
   2,527.88x = 13,788,921.81
5. Step 5: Solve for x
   x = 13,788,921.81/2,527.88
6. Step 6: Final answer
   x = 5,454.75