Finding the Third Proportional to 33,870 and 74,298

Step by Step Solution

1. Step 1: Write the proportion equation
   33,870 : 74,298 = 74,298 : x
2. Step 2: Convert to fraction form
   33,870/74,298 = 74,298/x
3. Step 3: Cross multiply
   33,870x = 74,298 × 74,298
4. Step 4: Simplify right side
   33,870x = 5,520,192,804
5. Step 5: Solve for x
   x = 5,520,192,804/33,870
6. Step 6: Final answer
   x = 162,981.78