Finding the Third Proportional to 3,835 and 5,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,835 : 5,861.50 = 5,861.50 : x
2. Step 2: Convert to fraction form
   3,835/5,861.50 = 5,861.50/x
3. Step 3: Cross multiply
   3,835x = 5,861.50 × 5,861.50
4. Step 4: Simplify right side
   3,835x = 34,357,182.25
5. Step 5: Solve for x
   x = 34,357,182.25/3,835
6. Step 6: Final answer
   x = 8,958.85