Finding the Third Proportional to 31,974 and 74,682

Step by Step Solution

1. Step 1: Write the proportion equation
   31,974 : 74,682 = 74,682 : x
2. Step 2: Convert to fraction form
   31,974/74,682 = 74,682/x
3. Step 3: Cross multiply
   31,974x = 74,682 × 74,682
4. Step 4: Simplify right side
   31,974x = 5,577,401,124
5. Step 5: Solve for x
   x = 5,577,401,124/31,974
6. Step 6: Final answer
   x = 174,435.51