Finding the Third Proportional to 33,614 and 71,644

Step by Step Solution

1. Step 1: Write the proportion equation
   33,614 : 71,644 = 71,644 : x
2. Step 2: Convert to fraction form
   33,614/71,644 = 71,644/x
3. Step 3: Cross multiply
   33,614x = 71,644 × 71,644
4. Step 4: Simplify right side
   33,614x = 5,132,862,736
5. Step 5: Solve for x
   x = 5,132,862,736/33,614
6. Step 6: Final answer
   x = 152,700.15