Finding the Third Proportional to 3,505.78 and 5,842.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,505.78 : 5,842.76 = 5,842.76 : x
2. Step 2: Convert to fraction form
   3,505.78/5,842.76 = 5,842.76/x
3. Step 3: Cross multiply
   3,505.78x = 5,842.76 × 5,842.76
4. Step 4: Simplify right side
   3,505.78x = 34,137,818.86
5. Step 5: Solve for x
   x = 34,137,818.86/3,505.78
6. Step 6: Final answer
   x = 9,737.58