Finding the Third Proportional to 3,697.31 and 5,881.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.31 : 5,881.78 = 5,881.78 : x
2. Step 2: Convert to fraction form
   3,697.31/5,881.78 = 5,881.78/x
3. Step 3: Cross multiply
   3,697.31x = 5,881.78 × 5,881.78
4. Step 4: Simplify right side
   3,697.31x = 34,595,350.67
5. Step 5: Solve for x
   x = 34,595,350.67/3,697.31
6. Step 6: Final answer
   x = 9,356.89