Finding the Third Proportional to 31,185 and 68,406

Step by Step Solution

1. Step 1: Write the proportion equation
   31,185 : 68,406 = 68,406 : x
2. Step 2: Convert to fraction form
   31,185/68,406 = 68,406/x
3. Step 3: Cross multiply
   31,185x = 68,406 × 68,406
4. Step 4: Simplify right side
   31,185x = 4,679,380,836
5. Step 5: Solve for x
   x = 4,679,380,836/31,185
6. Step 6: Final answer
   x = 150,052.30