Finding the Third Proportional to 6,456 and 14,892

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 14,892 = 14,892 : x
2. Step 2: Convert to fraction form
   6,456/14,892 = 14,892/x
3. Step 3: Cross multiply
   6,456x = 14,892 × 14,892
4. Step 4: Simplify right side
   6,456x = 221,771,664
5. Step 5: Solve for x
   x = 221,771,664/6,456
6. Step 6: Final answer
   x = 34,351.25