Finding the Third Proportional to 16,144 and 35,147

Step by Step Solution

1. Step 1: Write the proportion equation
   16,144 : 35,147 = 35,147 : x
2. Step 2: Convert to fraction form
   16,144/35,147 = 35,147/x
3. Step 3: Cross multiply
   16,144x = 35,147 × 35,147
4. Step 4: Simplify right side
   16,144x = 1,235,311,609
5. Step 5: Solve for x
   x = 1,235,311,609/16,144
6. Step 6: Final answer
   x = 76,518.31