Finding the Third Proportional to 16,143 and 34,965

Step by Step Solution

1. Step 1: Write the proportion equation
   16,143 : 34,965 = 34,965 : x
2. Step 2: Convert to fraction form
   16,143/34,965 = 34,965/x
3. Step 3: Cross multiply
   16,143x = 34,965 × 34,965
4. Step 4: Simplify right side
   16,143x = 1,222,551,225
5. Step 5: Solve for x
   x = 1,222,551,225/16,143
6. Step 6: Final answer
   x = 75,732.59