Finding the Third Proportional to 3,837 and 5,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837 : 5,947.50 = 5,947.50 : x
2. Step 2: Convert to fraction form
   3,837/5,947.50 = 5,947.50/x
3. Step 3: Cross multiply
   3,837x = 5,947.50 × 5,947.50
4. Step 4: Simplify right side
   3,837x = 35,372,756.25
5. Step 5: Solve for x
   x = 35,372,756.25/3,837
6. Step 6: Final answer
   x = 9,218.86