Finding the Third Proportional to 10,856 and 14,662

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856 : 14,662 = 14,662 : x
2. Step 2: Convert to fraction form
   10,856/14,662 = 14,662/x
3. Step 3: Cross multiply
   10,856x = 14,662 × 14,662
4. Step 4: Simplify right side
   10,856x = 214,974,244
5. Step 5: Solve for x
   x = 214,974,244/10,856
6. Step 6: Final answer
   x = 19,802.34