Finding the Third Proportional to 33,758 and 73,880

Step by Step Solution

1. Step 1: Write the proportion equation
   33,758 : 73,880 = 73,880 : x
2. Step 2: Convert to fraction form
   33,758/73,880 = 73,880/x
3. Step 3: Cross multiply
   33,758x = 73,880 × 73,880
4. Step 4: Simplify right side
   33,758x = 5,458,254,400
5. Step 5: Solve for x
   x = 5,458,254,400/33,758
6. Step 6: Final answer
   x = 161,687.73