Finding the Third Proportional to 3,791 and 5,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,791 : 5,848.50 = 5,848.50 : x
2. Step 2: Convert to fraction form
   3,791/5,848.50 = 5,848.50/x
3. Step 3: Cross multiply
   3,791x = 5,848.50 × 5,848.50
4. Step 4: Simplify right side
   3,791x = 34,204,952.25
5. Step 5: Solve for x
   x = 34,204,952.25/3,791
6. Step 6: Final answer
   x = 9,022.67