Finding the Third Proportional to 2,377.50 and 5,301.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.50 : 5,301.38 = 5,301.38 : x
2. Step 2: Convert to fraction form
   2,377.50/5,301.38 = 5,301.38/x
3. Step 3: Cross multiply
   2,377.50x = 5,301.38 × 5,301.38
4. Step 4: Simplify right side
   2,377.50x = 28,104,576.89
5. Step 5: Solve for x
   x = 28,104,576.89/2,377.50
6. Step 6: Final answer
   x = 11,821.06