Finding the Third Proportional to 16,185 and 34,971

Step by Step Solution

1. Step 1: Write the proportion equation
   16,185 : 34,971 = 34,971 : x
2. Step 2: Convert to fraction form
   16,185/34,971 = 34,971/x
3. Step 3: Cross multiply
   16,185x = 34,971 × 34,971
4. Step 4: Simplify right side
   16,185x = 1,222,970,841
5. Step 5: Solve for x
   x = 1,222,970,841/16,185
6. Step 6: Final answer
   x = 75,561.99