Finding the Third Proportional to 33,007 and 77,017

Step by Step Solution

1. Step 1: Write the proportion equation
   33,007 : 77,017 = 77,017 : x
2. Step 2: Convert to fraction form
   33,007/77,017 = 77,017/x
3. Step 3: Cross multiply
   33,007x = 77,017 × 77,017
4. Step 4: Simplify right side
   33,007x = 5,931,618,289
5. Step 5: Solve for x
   x = 5,931,618,289/33,007
6. Step 6: Final answer
   x = 179,707.89