Finding the Third Proportional to 8,128 and 17,807

Step by Step Solution

1. Step 1: Write the proportion equation
   8,128 : 17,807 = 17,807 : x
2. Step 2: Convert to fraction form
   8,128/17,807 = 17,807/x
3. Step 3: Cross multiply
   8,128x = 17,807 × 17,807
4. Step 4: Simplify right side
   8,128x = 317,089,249
5. Step 5: Solve for x
   x = 317,089,249/8,128
6. Step 6: Final answer
   x = 39,011.96