Finding the Third Proportional to 33,032 and 70,164

Step by Step Solution

1. Step 1: Write the proportion equation
   33,032 : 70,164 = 70,164 : x
2. Step 2: Convert to fraction form
   33,032/70,164 = 70,164/x
3. Step 3: Cross multiply
   33,032x = 70,164 × 70,164
4. Step 4: Simplify right side
   33,032x = 4,922,986,896
5. Step 5: Solve for x
   x = 4,922,986,896/33,032
6. Step 6: Final answer
   x = 149,036.90