Finding the Third Proportional to 4,012 and 5,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,012 : 5,835.50 = 5,835.50 : x
2. Step 2: Convert to fraction form
   4,012/5,835.50 = 5,835.50/x
3. Step 3: Cross multiply
   4,012x = 5,835.50 × 5,835.50
4. Step 4: Simplify right side
   4,012x = 34,053,060.25
5. Step 5: Solve for x
   x = 34,053,060.25/4,012
6. Step 6: Final answer
   x = 8,487.80