Finding the Third Proportional to 33,024 and 70,989

Step by Step Solution

1. Step 1: Write the proportion equation
   33,024 : 70,989 = 70,989 : x
2. Step 2: Convert to fraction form
   33,024/70,989 = 70,989/x
3. Step 3: Cross multiply
   33,024x = 70,989 × 70,989
4. Step 4: Simplify right side
   33,024x = 5,039,438,121
5. Step 5: Solve for x
   x = 5,039,438,121/33,024
6. Step 6: Final answer
   x = 152,599.26