Finding the Third Proportional to 9,892 and 14,546

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892 : 14,546 = 14,546 : x
2. Step 2: Convert to fraction form
   9,892/14,546 = 14,546/x
3. Step 3: Cross multiply
   9,892x = 14,546 × 14,546
4. Step 4: Simplify right side
   9,892x = 211,586,116
5. Step 5: Solve for x
   x = 211,586,116/9,892
6. Step 6: Final answer
   x = 21,389.62