Finding the Third Proportional to 2,458.38 and 5,307.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.38 : 5,307.75 = 5,307.75 : x
2. Step 2: Convert to fraction form
   2,458.38/5,307.75 = 5,307.75/x
3. Step 3: Cross multiply
   2,458.38x = 5,307.75 × 5,307.75
4. Step 4: Simplify right side
   2,458.38x = 28,172,210.06
5. Step 5: Solve for x
   x = 28,172,210.06/2,458.38
6. Step 6: Final answer
   x = 11,459.69