Finding the Third Proportional to 6,196.13 and 8,832.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.13 : 8,832.38 = 8,832.38 : x
2. Step 2: Convert to fraction form
   6,196.13/8,832.38 = 8,832.38/x
3. Step 3: Cross multiply
   6,196.13x = 8,832.38 × 8,832.38
4. Step 4: Simplify right side
   6,196.13x = 78,010,848.14
5. Step 5: Solve for x
   x = 78,010,848.14/6,196.13
6. Step 6: Final answer
   x = 12,590.26