Finding the Third Proportional to 31,966 and 67,302

Step by Step Solution

1. Step 1: Write the proportion equation
   31,966 : 67,302 = 67,302 : x
2. Step 2: Convert to fraction form
   31,966/67,302 = 67,302/x
3. Step 3: Cross multiply
   31,966x = 67,302 × 67,302
4. Step 4: Simplify right side
   31,966x = 4,529,559,204
5. Step 5: Solve for x
   x = 4,529,559,204/31,966
6. Step 6: Final answer
   x = 141,699.28