Finding the Third Proportional to 31,682 and 69,412

Step by Step Solution

1. Step 1: Write the proportion equation
   31,682 : 69,412 = 69,412 : x
2. Step 2: Convert to fraction form
   31,682/69,412 = 69,412/x
3. Step 3: Cross multiply
   31,682x = 69,412 × 69,412
4. Step 4: Simplify right side
   31,682x = 4,818,025,744
5. Step 5: Solve for x
   x = 4,818,025,744/31,682
6. Step 6: Final answer
   x = 152,074.55