Finding the Third Proportional to 6,171.82 and 10,199.36

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171.82 : 10,199.36 = 10,199.36 : x
2. Step 2: Convert to fraction form
   6,171.82/10,199.36 = 10,199.36/x
3. Step 3: Cross multiply
   6,171.82x = 10,199.36 × 10,199.36
4. Step 4: Simplify right side
   6,171.82x = 104,026,851.98
5. Step 5: Solve for x
   x = 104,026,851.98/6,171.82
6. Step 6: Final answer
   x = 16,855.13