Finding the Third Proportional to 69,714 and 108,096

Step by Step Solution

1. Step 1: Write the proportion equation
   69,714 : 108,096 = 108,096 : x
2. Step 2: Convert to fraction form
   69,714/108,096 = 108,096/x
3. Step 3: Cross multiply
   69,714x = 108,096 × 108,096
4. Step 4: Simplify right side
   69,714x = 11,684,745,216
5. Step 5: Solve for x
   x = 11,684,745,216/69,714
6. Step 6: Final answer
   x = 167,609.74