Finding the Third Proportional to 10,116 and 14,326

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 14,326 = 14,326 : x
2. Step 2: Convert to fraction form
   10,116/14,326 = 14,326/x
3. Step 3: Cross multiply
   10,116x = 14,326 × 14,326
4. Step 4: Simplify right side
   10,116x = 205,234,276
5. Step 5: Solve for x
   x = 205,234,276/10,116
6. Step 6: Final answer
   x = 20,288.09