Finding the Third Proportional to 31,974 and 69,522

Step by Step Solution

1. Step 1: Write the proportion equation
   31,974 : 69,522 = 69,522 : x
2. Step 2: Convert to fraction form
   31,974/69,522 = 69,522/x
3. Step 3: Cross multiply
   31,974x = 69,522 × 69,522
4. Step 4: Simplify right side
   31,974x = 4,833,308,484
5. Step 5: Solve for x
   x = 4,833,308,484/31,974
6. Step 6: Final answer
   x = 151,163.71