Finding the Third Proportional to 6,648 and 10,138

Step by Step Solution

1. Step 1: Write the proportion equation
   6,648 : 10,138 = 10,138 : x
2. Step 2: Convert to fraction form
   6,648/10,138 = 10,138/x
3. Step 3: Cross multiply
   6,648x = 10,138 × 10,138
4. Step 4: Simplify right side
   6,648x = 102,779,044
5. Step 5: Solve for x
   x = 102,779,044/6,648
6. Step 6: Final answer
   x = 15,460.15