Finding the Third Proportional to 33,947 and 74,422

Step by Step Solution

1. Step 1: Write the proportion equation
   33,947 : 74,422 = 74,422 : x
2. Step 2: Convert to fraction form
   33,947/74,422 = 74,422/x
3. Step 3: Cross multiply
   33,947x = 74,422 × 74,422
4. Step 4: Simplify right side
   33,947x = 5,538,634,084
5. Step 5: Solve for x
   x = 5,538,634,084/33,947
6. Step 6: Final answer
   x = 163,155.33