Finding the Third Proportional to 33,758 and 72,706

Step by Step Solution

1. Step 1: Write the proportion equation
   33,758 : 72,706 = 72,706 : x
2. Step 2: Convert to fraction form
   33,758/72,706 = 72,706/x
3. Step 3: Cross multiply
   33,758x = 72,706 × 72,706
4. Step 4: Simplify right side
   33,758x = 5,286,162,436
5. Step 5: Solve for x
   x = 5,286,162,436/33,758
6. Step 6: Final answer
   x = 156,589.92