Finding the Third Proportional to 33,898 and 73,016

Step by Step Solution

1. Step 1: Write the proportion equation
   33,898 : 73,016 = 73,016 : x
2. Step 2: Convert to fraction form
   33,898/73,016 = 73,016/x
3. Step 3: Cross multiply
   33,898x = 73,016 × 73,016
4. Step 4: Simplify right side
   33,898x = 5,331,336,256
5. Step 5: Solve for x
   x = 5,331,336,256/33,898
6. Step 6: Final answer
   x = 157,275.84