Finding the Third Proportional to 6,521 and 13,627

Step by Step Solution

1. Step 1: Write the proportion equation
   6,521 : 13,627 = 13,627 : x
2. Step 2: Convert to fraction form
   6,521/13,627 = 13,627/x
3. Step 3: Cross multiply
   6,521x = 13,627 × 13,627
4. Step 4: Simplify right side
   6,521x = 185,695,129
5. Step 5: Solve for x
   x = 185,695,129/6,521
6. Step 6: Final answer
   x = 28,476.48