Finding the Third Proportional to 34,648 and 74,218

Step by Step Solution

1. Step 1: Write the proportion equation
   34,648 : 74,218 = 74,218 : x
2. Step 2: Convert to fraction form
   34,648/74,218 = 74,218/x
3. Step 3: Cross multiply
   34,648x = 74,218 × 74,218
4. Step 4: Simplify right side
   34,648x = 5,508,311,524
5. Step 5: Solve for x
   x = 5,508,311,524/34,648
6. Step 6: Final answer
   x = 158,979.21