Finding the Third Proportional to 33,525 and 67,974

Step by Step Solution

1. Step 1: Write the proportion equation
   33,525 : 67,974 = 67,974 : x
2. Step 2: Convert to fraction form
   33,525/67,974 = 67,974/x
3. Step 3: Cross multiply
   33,525x = 67,974 × 67,974
4. Step 4: Simplify right side
   33,525x = 4,620,464,676
5. Step 5: Solve for x
   x = 4,620,464,676/33,525
6. Step 6: Final answer
   x = 137,821.47