Finding the Third Proportional to 33,938 and 73,684

Step by Step Solution

1. Step 1: Write the proportion equation
   33,938 : 73,684 = 73,684 : x
2. Step 2: Convert to fraction form
   33,938/73,684 = 73,684/x
3. Step 3: Cross multiply
   33,938x = 73,684 × 73,684
4. Step 4: Simplify right side
   33,938x = 5,429,331,856
5. Step 5: Solve for x
   x = 5,429,331,856/33,938
6. Step 6: Final answer
   x = 159,977.96