Finding the Third Proportional to 33,986 and 74,884

Step by Step Solution

1. Step 1: Write the proportion equation
   33,986 : 74,884 = 74,884 : x
2. Step 2: Convert to fraction form
   33,986/74,884 = 74,884/x
3. Step 3: Cross multiply
   33,986x = 74,884 × 74,884
4. Step 4: Simplify right side
   33,986x = 5,607,613,456
5. Step 5: Solve for x
   x = 5,607,613,456/33,986
6. Step 6: Final answer
   x = 164,997.75