Finding the Third Proportional to 69,096 and 103,698

Step by Step Solution

1. Step 1: Write the proportion equation
   69,096 : 103,698 = 103,698 : x
2. Step 2: Convert to fraction form
   69,096/103,698 = 103,698/x
3. Step 3: Cross multiply
   69,096x = 103,698 × 103,698
4. Step 4: Simplify right side
   69,096x = 10,753,275,204
5. Step 5: Solve for x
   x = 10,753,275,204/69,096
6. Step 6: Final answer
   x = 155,628.04