Finding the Third Proportional to 10,896 and 25,719

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 25,719 = 25,719 : x
2. Step 2: Convert to fraction form
   10,896/25,719 = 25,719/x
3. Step 3: Cross multiply
   10,896x = 25,719 × 25,719
4. Step 4: Simplify right side
   10,896x = 661,466,961
5. Step 5: Solve for x
   x = 661,466,961/10,896
6. Step 6: Final answer
   x = 60,707.32