Finding the Third Proportional to 6,502 and 17,071

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502 : 17,071 = 17,071 : x
2. Step 2: Convert to fraction form
   6,502/17,071 = 17,071/x
3. Step 3: Cross multiply
   6,502x = 17,071 × 17,071
4. Step 4: Simplify right side
   6,502x = 291,419,041
5. Step 5: Solve for x
   x = 291,419,041/6,502
6. Step 6: Final answer
   x = 44,819.91