Finding the Third Proportional to 1,546.88 and 2,397.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.88 : 2,397.38 = 2,397.38 : x
2. Step 2: Convert to fraction form
   1,546.88/2,397.38 = 2,397.38/x
3. Step 3: Cross multiply
   1,546.88x = 2,397.38 × 2,397.38
4. Step 4: Simplify right side
   1,546.88x = 5,747,406.89
5. Step 5: Solve for x
   x = 5,747,406.89/1,546.88
6. Step 6: Final answer
   x = 3,715.50