Finding the Third Proportional to 33,642 and 71,602

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 71,602 = 71,602 : x
2. Step 2: Convert to fraction form
   33,642/71,602 = 71,602/x
3. Step 3: Cross multiply
   33,642x = 71,602 × 71,602
4. Step 4: Simplify right side
   33,642x = 5,126,846,404
5. Step 5: Solve for x
   x = 5,126,846,404/33,642
6. Step 6: Final answer
   x = 152,394.22