Finding the Third Proportional to 9,892 and 14,678

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892 : 14,678 = 14,678 : x
2. Step 2: Convert to fraction form
   9,892/14,678 = 14,678/x
3. Step 3: Cross multiply
   9,892x = 14,678 × 14,678
4. Step 4: Simplify right side
   9,892x = 215,443,684
5. Step 5: Solve for x
   x = 215,443,684/9,892
6. Step 6: Final answer
   x = 21,779.59