Finding the Third Proportional to 3,196.13 and 8,354.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.13 : 8,354.81 = 8,354.81 : x
2. Step 2: Convert to fraction form
   3,196.13/8,354.81 = 8,354.81/x
3. Step 3: Cross multiply
   3,196.13x = 8,354.81 × 8,354.81
4. Step 4: Simplify right side
   3,196.13x = 69,802,891.91
5. Step 5: Solve for x
   x = 69,802,891.91/3,196.13
6. Step 6: Final answer
   x = 21,839.85