Finding the Third Proportional to 6,642 and 10,195

Step by Step Solution

1. Step 1: Write the proportion equation
   6,642 : 10,195 = 10,195 : x
2. Step 2: Convert to fraction form
   6,642/10,195 = 10,195/x
3. Step 3: Cross multiply
   6,642x = 10,195 × 10,195
4. Step 4: Simplify right side
   6,642x = 103,938,025
5. Step 5: Solve for x
   x = 103,938,025/6,642
6. Step 6: Final answer
   x = 15,648.60