Finding the Third Proportional to 31,814 and 69,096

Step by Step Solution

1. Step 1: Write the proportion equation
   31,814 : 69,096 = 69,096 : x
2. Step 2: Convert to fraction form
   31,814/69,096 = 69,096/x
3. Step 3: Cross multiply
   31,814x = 69,096 × 69,096
4. Step 4: Simplify right side
   31,814x = 4,774,257,216
5. Step 5: Solve for x
   x = 4,774,257,216/31,814
6. Step 6: Final answer
   x = 150,067.81