Finding the Third Proportional to 2,431.31 and 4,952.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,431.31 : 4,952.06 = 4,952.06 : x
2. Step 2: Convert to fraction form
   2,431.31/4,952.06 = 4,952.06/x
3. Step 3: Cross multiply
   2,431.31x = 4,952.06 × 4,952.06
4. Step 4: Simplify right side
   2,431.31x = 24,522,923.00
5. Step 5: Solve for x
   x = 24,522,923.00/2,431.31
6. Step 6: Final answer
   x = 10,086.29