Finding the Third Proportional to 33,496 and 72,112

Step by Step Solution

1. Step 1: Write the proportion equation
   33,496 : 72,112 = 72,112 : x
2. Step 2: Convert to fraction form
   33,496/72,112 = 72,112/x
3. Step 3: Cross multiply
   33,496x = 72,112 × 72,112
4. Step 4: Simplify right side
   33,496x = 5,200,140,544
5. Step 5: Solve for x
   x = 5,200,140,544/33,496
6. Step 6: Final answer
   x = 155,246.61