Finding the Third Proportional to 19,672.50 and 31,198

Step by Step Solution

1. Step 1: Write the proportion equation
   19,672.50 : 31,198 = 31,198 : x
2. Step 2: Convert to fraction form
   19,672.50/31,198 = 31,198/x
3. Step 3: Cross multiply
   19,672.50x = 31,198 × 31,198
4. Step 4: Simplify right side
   19,672.50x = 973,315,204
5. Step 5: Solve for x
   x = 973,315,204/19,672.50
6. Step 6: Final answer
   x = 49,475.93