Finding the Third Proportional to 1,458.75 and 3,426.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.75 : 3,426.38 = 3,426.38 : x
2. Step 2: Convert to fraction form
   1,458.75/3,426.38 = 3,426.38/x
3. Step 3: Cross multiply
   1,458.75x = 3,426.38 × 3,426.38
4. Step 4: Simplify right side
   1,458.75x = 11,740,045.64
5. Step 5: Solve for x
   x = 11,740,045.64/1,458.75
6. Step 6: Final answer
   x = 8,048.02