Finding the Third Proportional to 69,648 and 106,105

Step by Step Solution

1. Step 1: Write the proportion equation
   69,648 : 106,105 = 106,105 : x
2. Step 2: Convert to fraction form
   69,648/106,105 = 106,105/x
3. Step 3: Cross multiply
   69,648x = 106,105 × 106,105
4. Step 4: Simplify right side
   69,648x = 11,258,271,025
5. Step 5: Solve for x
   x = 11,258,271,025/69,648
6. Step 6: Final answer
   x = 161,645.29