Finding the Third Proportional to 6,196.50 and 8,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.50 : 8,869.50 = 8,869.50 : x
2. Step 2: Convert to fraction form
   6,196.50/8,869.50 = 8,869.50/x
3. Step 3: Cross multiply
   6,196.50x = 8,869.50 × 8,869.50
4. Step 4: Simplify right side
   6,196.50x = 78,668,030.25
5. Step 5: Solve for x
   x = 78,668,030.25/6,196.50
6. Step 6: Final answer
   x = 12,695.56