Finding the Third Proportional to 9,856 and 15,736

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856 : 15,736 = 15,736 : x
2. Step 2: Convert to fraction form
   9,856/15,736 = 15,736/x
3. Step 3: Cross multiply
   9,856x = 15,736 × 15,736
4. Step 4: Simplify right side
   9,856x = 247,621,696
5. Step 5: Solve for x
   x = 247,621,696/9,856
6. Step 6: Final answer
   x = 25,123.95