Finding the Third Proportional to 1,677.38 and 2,458.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.38 : 2,458.88 = 2,458.88 : x
2. Step 2: Convert to fraction form
   1,677.38/2,458.88 = 2,458.88/x
3. Step 3: Cross multiply
   1,677.38x = 2,458.88 × 2,458.88
4. Step 4: Simplify right side
   1,677.38x = 6,046,066.27
5. Step 5: Solve for x
   x = 6,046,066.27/1,677.38
6. Step 6: Final answer
   x = 3,604.48