Finding the Third Proportional to 2,527.31 and 5,180.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.31 : 5,180.06 = 5,180.06 : x
2. Step 2: Convert to fraction form
   2,527.31/5,180.06 = 5,180.06/x
3. Step 3: Cross multiply
   2,527.31x = 5,180.06 × 5,180.06
4. Step 4: Simplify right side
   2,527.31x = 26,833,047.50
5. Step 5: Solve for x
   x = 26,833,047.50/2,527.31
6. Step 6: Final answer
   x = 10,617.23