Finding the Third Proportional to 2,308.50 and 4,978.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,308.50 : 4,978.97 = 4,978.97 : x
2. Step 2: Convert to fraction form
   2,308.50/4,978.97 = 4,978.97/x
3. Step 3: Cross multiply
   2,308.50x = 4,978.97 × 4,978.97
4. Step 4: Simplify right side
   2,308.50x = 24,790,129.81
5. Step 5: Solve for x
   x = 24,790,129.81/2,308.50
6. Step 6: Final answer
   x = 10,738.63