Finding the Third Proportional to 2,427 and 5,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427 : 5,311.50 = 5,311.50 : x
2. Step 2: Convert to fraction form
   2,427/5,311.50 = 5,311.50/x
3. Step 3: Cross multiply
   2,427x = 5,311.50 × 5,311.50
4. Step 4: Simplify right side
   2,427x = 28,212,032.25
5. Step 5: Solve for x
   x = 28,212,032.25/2,427
6. Step 6: Final answer
   x = 11,624.24