Finding the Third Proportional to 10,700 and 16,807

Step by Step Solution

1. Step 1: Write the proportion equation
   10,700 : 16,807 = 16,807 : x
2. Step 2: Convert to fraction form
   10,700/16,807 = 16,807/x
3. Step 3: Cross multiply
   10,700x = 16,807 × 16,807
4. Step 4: Simplify right side
   10,700x = 282,475,249
5. Step 5: Solve for x
   x = 282,475,249/10,700
6. Step 6: Final answer
   x = 26,399.56