Finding the Third Proportional to 33,758 and 73,870

Step by Step Solution

1. Step 1: Write the proportion equation
   33,758 : 73,870 = 73,870 : x
2. Step 2: Convert to fraction form
   33,758/73,870 = 73,870/x
3. Step 3: Cross multiply
   33,758x = 73,870 × 73,870
4. Step 4: Simplify right side
   33,758x = 5,456,776,900
5. Step 5: Solve for x
   x = 5,456,776,900/33,758
6. Step 6: Final answer
   x = 161,643.96