Finding the Third Proportional to 10,872 and 19,719

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872 : 19,719 = 19,719 : x
2. Step 2: Convert to fraction form
   10,872/19,719 = 19,719/x
3. Step 3: Cross multiply
   10,872x = 19,719 × 19,719
4. Step 4: Simplify right side
   10,872x = 388,838,961
5. Step 5: Solve for x
   x = 388,838,961/10,872
6. Step 6: Final answer
   x = 35,765.17