Finding the Third Proportional to 2,339.50 and 5,149.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,339.50 : 5,149.75 = 5,149.75 : x
2. Step 2: Convert to fraction form
   2,339.50/5,149.75 = 5,149.75/x
3. Step 3: Cross multiply
   2,339.50x = 5,149.75 × 5,149.75
4. Step 4: Simplify right side
   2,339.50x = 26,519,925.06
5. Step 5: Solve for x
   x = 26,519,925.06/2,339.50
6. Step 6: Final answer
   x = 11,335.72