Finding the Third Proportional to 31,962 and 69,198

Step by Step Solution

1. Step 1: Write the proportion equation
   31,962 : 69,198 = 69,198 : x
2. Step 2: Convert to fraction form
   31,962/69,198 = 69,198/x
3. Step 3: Cross multiply
   31,962x = 69,198 × 69,198
4. Step 4: Simplify right side
   31,962x = 4,788,363,204
5. Step 5: Solve for x
   x = 4,788,363,204/31,962
6. Step 6: Final answer
   x = 149,814.25