Finding the Third Proportional to 6,174.50 and 8,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,174.50 : 8,823.50 = 8,823.50 : x
2. Step 2: Convert to fraction form
   6,174.50/8,823.50 = 8,823.50/x
3. Step 3: Cross multiply
   6,174.50x = 8,823.50 × 8,823.50
4. Step 4: Simplify right side
   6,174.50x = 77,854,152.25
5. Step 5: Solve for x
   x = 77,854,152.25/6,174.50
6. Step 6: Final answer
   x = 12,608.98