Finding the Third Proportional to 33,438 and 71,916

Step by Step Solution

1. Step 1: Write the proportion equation
   33,438 : 71,916 = 71,916 : x
2. Step 2: Convert to fraction form
   33,438/71,916 = 71,916/x
3. Step 3: Cross multiply
   33,438x = 71,916 × 71,916
4. Step 4: Simplify right side
   33,438x = 5,171,911,056
5. Step 5: Solve for x
   x = 5,171,911,056/33,438
6. Step 6: Final answer
   x = 154,671.66