Finding the Third Proportional to 6,523 and 10,057

Step by Step Solution

1. Step 1: Write the proportion equation
   6,523 : 10,057 = 10,057 : x
2. Step 2: Convert to fraction form
   6,523/10,057 = 10,057/x
3. Step 3: Cross multiply
   6,523x = 10,057 × 10,057
4. Step 4: Simplify right side
   6,523x = 101,143,249
5. Step 5: Solve for x
   x = 101,143,249/6,523
6. Step 6: Final answer
   x = 15,505.63