Finding the Third Proportional to 6,474 and 8,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,474 : 8,833.50 = 8,833.50 : x
2. Step 2: Convert to fraction form
   6,474/8,833.50 = 8,833.50/x
3. Step 3: Cross multiply
   6,474x = 8,833.50 × 8,833.50
4. Step 4: Simplify right side
   6,474x = 78,030,722.25
5. Step 5: Solve for x
   x = 78,030,722.25/6,474
6. Step 6: Final answer
   x = 12,052.94