Finding the Third Proportional to 6,468 and 17,556

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468 : 17,556 = 17,556 : x
2. Step 2: Convert to fraction form
   6,468/17,556 = 17,556/x
3. Step 3: Cross multiply
   6,468x = 17,556 × 17,556
4. Step 4: Simplify right side
   6,468x = 308,213,136
5. Step 5: Solve for x
   x = 308,213,136/6,468
6. Step 6: Final answer
   x = 47,652