Finding the Third Proportional to 22,014 and 33,974

Step by Step Solution

1. Step 1: Write the proportion equation
   22,014 : 33,974 = 33,974 : x
2. Step 2: Convert to fraction form
   22,014/33,974 = 33,974/x
3. Step 3: Cross multiply
   22,014x = 33,974 × 33,974
4. Step 4: Simplify right side
   22,014x = 1,154,232,676
5. Step 5: Solve for x
   x = 1,154,232,676/22,014
6. Step 6: Final answer
   x = 52,431.76