Finding the Third Proportional to 6,735 and 14,145

Step by Step Solution

1. Step 1: Write the proportion equation
   6,735 : 14,145 = 14,145 : x
2. Step 2: Convert to fraction form
   6,735/14,145 = 14,145/x
3. Step 3: Cross multiply
   6,735x = 14,145 × 14,145
4. Step 4: Simplify right side
   6,735x = 200,081,025
5. Step 5: Solve for x
   x = 200,081,025/6,735
6. Step 6: Final answer
   x = 29,707.65