Finding the Third Proportional to 31,150 and 68,096

Step by Step Solution

1. Step 1: Write the proportion equation
   31,150 : 68,096 = 68,096 : x
2. Step 2: Convert to fraction form
   31,150/68,096 = 68,096/x
3. Step 3: Cross multiply
   31,150x = 68,096 × 68,096
4. Step 4: Simplify right side
   31,150x = 4,637,065,216
5. Step 5: Solve for x
   x = 4,637,065,216/31,150
6. Step 6: Final answer
   x = 148,862.45