Finding the Third Proportional to 31,282 and 68,072

Step by Step Solution

1. Step 1: Write the proportion equation
   31,282 : 68,072 = 68,072 : x
2. Step 2: Convert to fraction form
   31,282/68,072 = 68,072/x
3. Step 3: Cross multiply
   31,282x = 68,072 × 68,072
4. Step 4: Simplify right side
   31,282x = 4,633,797,184
5. Step 5: Solve for x
   x = 4,633,797,184/31,282
6. Step 6: Final answer
   x = 148,129.82