Finding the Third Proportional to 3,717 and 5,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,717 : 5,881.50 = 5,881.50 : x
2. Step 2: Convert to fraction form
   3,717/5,881.50 = 5,881.50/x
3. Step 3: Cross multiply
   3,717x = 5,881.50 × 5,881.50
4. Step 4: Simplify right side
   3,717x = 34,592,042.25
5. Step 5: Solve for x
   x = 34,592,042.25/3,717
6. Step 6: Final answer
   x = 9,306.44