Finding the Third Proportional to 9,876 and 13,726

Step by Step Solution

1. Step 1: Write the proportion equation
   9,876 : 13,726 = 13,726 : x
2. Step 2: Convert to fraction form
   9,876/13,726 = 13,726/x
3. Step 3: Cross multiply
   9,876x = 13,726 × 13,726
4. Step 4: Simplify right side
   9,876x = 188,403,076
5. Step 5: Solve for x
   x = 188,403,076/9,876
6. Step 6: Final answer
   x = 19,076.86