Finding the Third Proportional to 33,627 and 70,998

Step by Step Solution

1. Step 1: Write the proportion equation
   33,627 : 70,998 = 70,998 : x
2. Step 2: Convert to fraction form
   33,627/70,998 = 70,998/x
3. Step 3: Cross multiply
   33,627x = 70,998 × 70,998
4. Step 4: Simplify right side
   33,627x = 5,040,716,004
5. Step 5: Solve for x
   x = 5,040,716,004/33,627
6. Step 6: Final answer
   x = 149,900.85