Finding the Third Proportional to 6,456 and 15,456

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 15,456 = 15,456 : x
2. Step 2: Convert to fraction form
   6,456/15,456 = 15,456/x
3. Step 3: Cross multiply
   6,456x = 15,456 × 15,456
4. Step 4: Simplify right side
   6,456x = 238,887,936
5. Step 5: Solve for x
   x = 238,887,936/6,456
6. Step 6: Final answer
   x = 37,002.47