Finding the Third Proportional to 6,520 and 13,488

Step by Step Solution

1. Step 1: Write the proportion equation
   6,520 : 13,488 = 13,488 : x
2. Step 2: Convert to fraction form
   6,520/13,488 = 13,488/x
3. Step 3: Cross multiply
   6,520x = 13,488 × 13,488
4. Step 4: Simplify right side
   6,520x = 181,926,144
5. Step 5: Solve for x
   x = 181,926,144/6,520
6. Step 6: Final answer
   x = 27,902.78