Finding the Third Proportional to 33,822 and 74,196

Step by Step Solution

1. Step 1: Write the proportion equation
   33,822 : 74,196 = 74,196 : x
2. Step 2: Convert to fraction form
   33,822/74,196 = 74,196/x
3. Step 3: Cross multiply
   33,822x = 74,196 × 74,196
4. Step 4: Simplify right side
   33,822x = 5,505,046,416
5. Step 5: Solve for x
   x = 5,505,046,416/33,822
6. Step 6: Final answer
   x = 162,765.25