Finding the Third Proportional to 31,701 and 69,450

Step by Step Solution

1. Step 1: Write the proportion equation
   31,701 : 69,450 = 69,450 : x
2. Step 2: Convert to fraction form
   31,701/69,450 = 69,450/x
3. Step 3: Cross multiply
   31,701x = 69,450 × 69,450
4. Step 4: Simplify right side
   31,701x = 4,823,302,500
5. Step 5: Solve for x
   x = 4,823,302,500/31,701
6. Step 6: Final answer
   x = 152,149.85