Finding the Third Proportional to 6,480 and 10,644

Step by Step Solution

1. Step 1: Write the proportion equation
   6,480 : 10,644 = 10,644 : x
2. Step 2: Convert to fraction form
   6,480/10,644 = 10,644/x
3. Step 3: Cross multiply
   6,480x = 10,644 × 10,644
4. Step 4: Simplify right side
   6,480x = 113,294,736
5. Step 5: Solve for x
   x = 113,294,736/6,480
6. Step 6: Final answer
   x = 17,483.76