Finding the Third Proportional to 33,758 and 72,704

Step by Step Solution

1. Step 1: Write the proportion equation
   33,758 : 72,704 = 72,704 : x
2. Step 2: Convert to fraction form
   33,758/72,704 = 72,704/x
3. Step 3: Cross multiply
   33,758x = 72,704 × 72,704
4. Step 4: Simplify right side
   33,758x = 5,285,871,616
5. Step 5: Solve for x
   x = 5,285,871,616/33,758
6. Step 6: Final answer
   x = 156,581.30