Finding the Third Proportional to 33,948 and 74,322

Step by Step Solution

1. Step 1: Write the proportion equation
   33,948 : 74,322 = 74,322 : x
2. Step 2: Convert to fraction form
   33,948/74,322 = 74,322/x
3. Step 3: Cross multiply
   33,948x = 74,322 × 74,322
4. Step 4: Simplify right side
   33,948x = 5,523,759,684
5. Step 5: Solve for x
   x = 5,523,759,684/33,948
6. Step 6: Final answer
   x = 162,712.37