Finding the Third Proportional to 33,414 and 62,454

Step by Step Solution

1. Step 1: Write the proportion equation
   33,414 : 62,454 = 62,454 : x
2. Step 2: Convert to fraction form
   33,414/62,454 = 62,454/x
3. Step 3: Cross multiply
   33,414x = 62,454 × 62,454
4. Step 4: Simplify right side
   33,414x = 3,900,502,116
5. Step 5: Solve for x
   x = 3,900,502,116/33,414
6. Step 6: Final answer
   x = 116,732.57