Finding the Third Proportional to 33,120 and 70,974

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 70,974 = 70,974 : x
2. Step 2: Convert to fraction form
   33,120/70,974 = 70,974/x
3. Step 3: Cross multiply
   33,120x = 70,974 × 70,974
4. Step 4: Simplify right side
   33,120x = 5,037,308,676
5. Step 5: Solve for x
   x = 5,037,308,676/33,120
6. Step 6: Final answer
   x = 152,092.65