Finding the Third Proportional to 6,196.50 and 9,876.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.50 : 9,876.94 = 9,876.94 : x
2. Step 2: Convert to fraction form
   6,196.50/9,876.94 = 9,876.94/x
3. Step 3: Cross multiply
   6,196.50x = 9,876.94 × 9,876.94
4. Step 4: Simplify right side
   6,196.50x = 97,553,894.38
5. Step 5: Solve for x
   x = 97,553,894.38/6,196.50
6. Step 6: Final answer
   x = 15,743.39