Finding the Third Proportional to 33,814 and 63,398

Step by Step Solution

1. Step 1: Write the proportion equation
   33,814 : 63,398 = 63,398 : x
2. Step 2: Convert to fraction form
   33,814/63,398 = 63,398/x
3. Step 3: Cross multiply
   33,814x = 63,398 × 63,398
4. Step 4: Simplify right side
   33,814x = 4,019,306,404
5. Step 5: Solve for x
   x = 4,019,306,404/33,814
6. Step 6: Final answer
   x = 118,865.16