Finding the Third Proportional to 13,198 and 31,541

Step by Step Solution

1. Step 1: Write the proportion equation
   13,198 : 31,541 = 31,541 : x
2. Step 2: Convert to fraction form
   13,198/31,541 = 31,541/x
3. Step 3: Cross multiply
   13,198x = 31,541 × 31,541
4. Step 4: Simplify right side
   13,198x = 994,834,681
5. Step 5: Solve for x
   x = 994,834,681/13,198
6. Step 6: Final answer
   x = 75,377.68