Finding the Third Proportional to 10,186 and 14,910

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186 : 14,910 = 14,910 : x
2. Step 2: Convert to fraction form
   10,186/14,910 = 14,910/x
3. Step 3: Cross multiply
   10,186x = 14,910 × 14,910
4. Step 4: Simplify right side
   10,186x = 222,308,100
5. Step 5: Solve for x
   x = 222,308,100/10,186
6. Step 6: Final answer
   x = 21,824.87