Finding the Third Proportional to 33,674 and 74,032

Step by Step Solution

1. Step 1: Write the proportion equation
   33,674 : 74,032 = 74,032 : x
2. Step 2: Convert to fraction form
   33,674/74,032 = 74,032/x
3. Step 3: Cross multiply
   33,674x = 74,032 × 74,032
4. Step 4: Simplify right side
   33,674x = 5,480,737,024
5. Step 5: Solve for x
   x = 5,480,737,024/33,674
6. Step 6: Final answer
   x = 162,758.72