Finding the Third Proportional to 33,171 and 69,417

Step by Step Solution

1. Step 1: Write the proportion equation
   33,171 : 69,417 = 69,417 : x
2. Step 2: Convert to fraction form
   33,171/69,417 = 69,417/x
3. Step 3: Cross multiply
   33,171x = 69,417 × 69,417
4. Step 4: Simplify right side
   33,171x = 4,818,719,889
5. Step 5: Solve for x
   x = 4,818,719,889/33,171
6. Step 6: Final answer
   x = 145,269.06