Finding the Third Proportional to 31,396 and 72,622

Step by Step Solution

1. Step 1: Write the proportion equation
   31,396 : 72,622 = 72,622 : x
2. Step 2: Convert to fraction form
   31,396/72,622 = 72,622/x
3. Step 3: Cross multiply
   31,396x = 72,622 × 72,622
4. Step 4: Simplify right side
   31,396x = 5,273,954,884
5. Step 5: Solve for x
   x = 5,273,954,884/31,396
6. Step 6: Final answer
   x = 167,981.75