Finding the Third Proportional to 33,802 and 73,417

Step by Step Solution

1. Step 1: Write the proportion equation
   33,802 : 73,417 = 73,417 : x
2. Step 2: Convert to fraction form
   33,802/73,417 = 73,417/x
3. Step 3: Cross multiply
   33,802x = 73,417 × 73,417
4. Step 4: Simplify right side
   33,802x = 5,390,055,889
5. Step 5: Solve for x
   x = 5,390,055,889/33,802
6. Step 6: Final answer
   x = 159,459.67