Finding the Third Proportional to 3,917 and 5,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,917 : 5,371.50 = 5,371.50 : x
2. Step 2: Convert to fraction form
   3,917/5,371.50 = 5,371.50/x
3. Step 3: Cross multiply
   3,917x = 5,371.50 × 5,371.50
4. Step 4: Simplify right side
   3,917x = 28,853,012.25
5. Step 5: Solve for x
   x = 28,853,012.25/3,917
6. Step 6: Final answer
   x = 7,366.10