Finding the Third Proportional to 2,146.50 and 5,169.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.50 : 5,169.38 = 5,169.38 : x
2. Step 2: Convert to fraction form
   2,146.50/5,169.38 = 5,169.38/x
3. Step 3: Cross multiply
   2,146.50x = 5,169.38 × 5,169.38
4. Step 4: Simplify right side
   2,146.50x = 26,722,437.89
5. Step 5: Solve for x
   x = 26,722,437.89/2,146.50
6. Step 6: Final answer
   x = 12,449.31