Finding the Third Proportional to 31,698 and 69,444

Step by Step Solution

1. Step 1: Write the proportion equation
   31,698 : 69,444 = 69,444 : x
2. Step 2: Convert to fraction form
   31,698/69,444 = 69,444/x
3. Step 3: Cross multiply
   31,698x = 69,444 × 69,444
4. Step 4: Simplify right side
   31,698x = 4,822,469,136
5. Step 5: Solve for x
   x = 4,822,469,136/31,698
6. Step 6: Final answer
   x = 152,137.96