Finding the Third Proportional to 6,871 and 13,507

Step by Step Solution

1. Step 1: Write the proportion equation
   6,871 : 13,507 = 13,507 : x
2. Step 2: Convert to fraction form
   6,871/13,507 = 13,507/x
3. Step 3: Cross multiply
   6,871x = 13,507 × 13,507
4. Step 4: Simplify right side
   6,871x = 182,439,049
5. Step 5: Solve for x
   x = 182,439,049/6,871
6. Step 6: Final answer
   x = 26,552.04