Finding the Third Proportional to 30,883 and 67,342

Step by Step Solution

1. Step 1: Write the proportion equation
   30,883 : 67,342 = 67,342 : x
2. Step 2: Convert to fraction form
   30,883/67,342 = 67,342/x
3. Step 3: Cross multiply
   30,883x = 67,342 × 67,342
4. Step 4: Simplify right side
   30,883x = 4,534,944,964
5. Step 5: Solve for x
   x = 4,534,944,964/30,883
6. Step 6: Final answer
   x = 146,842.76