Finding the Third Proportional to 31,910 and 67,272

Step by Step Solution

1. Step 1: Write the proportion equation
   31,910 : 67,272 = 67,272 : x
2. Step 2: Convert to fraction form
   31,910/67,272 = 67,272/x
3. Step 3: Cross multiply
   31,910x = 67,272 × 67,272
4. Step 4: Simplify right side
   31,910x = 4,525,521,984
5. Step 5: Solve for x
   x = 4,525,521,984/31,910
6. Step 6: Final answer
   x = 141,821.43