Finding the Third Proportional to 31,165 and 67,082

Step by Step Solution

1. Step 1: Write the proportion equation
   31,165 : 67,082 = 67,082 : x
2. Step 2: Convert to fraction form
   31,165/67,082 = 67,082/x
3. Step 3: Cross multiply
   31,165x = 67,082 × 67,082
4. Step 4: Simplify right side
   31,165x = 4,499,994,724
5. Step 5: Solve for x
   x = 4,499,994,724/31,165
6. Step 6: Final answer
   x = 144,392.58