Finding the Third Proportional to 33,972 and 74,665

Step by Step Solution

1. Step 1: Write the proportion equation
   33,972 : 74,665 = 74,665 : x
2. Step 2: Convert to fraction form
   33,972/74,665 = 74,665/x
3. Step 3: Cross multiply
   33,972x = 74,665 × 74,665
4. Step 4: Simplify right side
   33,972x = 5,574,862,225
5. Step 5: Solve for x
   x = 5,574,862,225/33,972
6. Step 6: Final answer
   x = 164,101.68