Finding the Third Proportional to 22,182 and 31,198

Step by Step Solution

1. Step 1: Write the proportion equation
   22,182 : 31,198 = 31,198 : x
2. Step 2: Convert to fraction form
   22,182/31,198 = 31,198/x
3. Step 3: Cross multiply
   22,182x = 31,198 × 31,198
4. Step 4: Simplify right side
   22,182x = 973,315,204
5. Step 5: Solve for x
   x = 973,315,204/22,182
6. Step 6: Final answer
   x = 43,878.60