Finding the Third Proportional to 42,039 and 91,971

Step by Step Solution

1. Step 1: Write the proportion equation
   42,039 : 91,971 = 91,971 : x
2. Step 2: Convert to fraction form
   42,039/91,971 = 91,971/x
3. Step 3: Cross multiply
   42,039x = 91,971 × 91,971
4. Step 4: Simplify right side
   42,039x = 8,458,664,841
5. Step 5: Solve for x
   x = 8,458,664,841/42,039
6. Step 6: Final answer
   x = 201,209.94