Finding the Third Proportional to 2,404.69 and 4,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404.69 : 4,978.13 = 4,978.13 : x
2. Step 2: Convert to fraction form
   2,404.69/4,978.13 = 4,978.13/x
3. Step 3: Cross multiply
   2,404.69x = 4,978.13 × 4,978.13
4. Step 4: Simplify right side
   2,404.69x = 24,781,728.52
5. Step 5: Solve for x
   x = 24,781,728.52/2,404.69
6. Step 6: Final answer
   x = 10,305.59