Finding the Third Proportional to 3,265.10 and 4,978.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,265.10 : 4,978.76 = 4,978.76 : x
2. Step 2: Convert to fraction form
   3,265.10/4,978.76 = 4,978.76/x
3. Step 3: Cross multiply
   3,265.10x = 4,978.76 × 4,978.76
4. Step 4: Simplify right side
   3,265.10x = 24,788,029.36
5. Step 5: Solve for x
   x = 24,788,029.36/3,265.10
6. Step 6: Final answer
   x = 7,591.81