Finding the Third Proportional to 33,258 and 73,896

Step by Step Solution

1. Step 1: Write the proportion equation
   33,258 : 73,896 = 73,896 : x
2. Step 2: Convert to fraction form
   33,258/73,896 = 73,896/x
3. Step 3: Cross multiply
   33,258x = 73,896 × 73,896
4. Step 4: Simplify right side
   33,258x = 5,460,618,816
5. Step 5: Solve for x
   x = 5,460,618,816/33,258
6. Step 6: Final answer
   x = 164,189.63