Finding the Third Proportional to 31,892 and 67,430

Step by Step Solution

1. Step 1: Write the proportion equation
   31,892 : 67,430 = 67,430 : x
2. Step 2: Convert to fraction form
   31,892/67,430 = 67,430/x
3. Step 3: Cross multiply
   31,892x = 67,430 × 67,430
4. Step 4: Simplify right side
   31,892x = 4,546,804,900
5. Step 5: Solve for x
   x = 4,546,804,900/31,892
6. Step 6: Final answer
   x = 142,568.82