Finding the Third Proportional to 31,922 and 69,372

Step by Step Solution

1. Step 1: Write the proportion equation
   31,922 : 69,372 = 69,372 : x
2. Step 2: Convert to fraction form
   31,922/69,372 = 69,372/x
3. Step 3: Cross multiply
   31,922x = 69,372 × 69,372
4. Step 4: Simplify right side
   31,922x = 4,812,474,384
5. Step 5: Solve for x
   x = 4,812,474,384/31,922
6. Step 6: Final answer
   x = 150,757.30