Finding the Third Proportional to 33,414 and 72,107

Step by Step Solution

1. Step 1: Write the proportion equation
   33,414 : 72,107 = 72,107 : x
2. Step 2: Convert to fraction form
   33,414/72,107 = 72,107/x
3. Step 3: Cross multiply
   33,414x = 72,107 × 72,107
4. Step 4: Simplify right side
   33,414x = 5,199,419,449
5. Step 5: Solve for x
   x = 5,199,419,449/33,414
6. Step 6: Final answer
   x = 155,606.02