Finding the Third Proportional to 10,896 and 23,460

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 23,460 = 23,460 : x
2. Step 2: Convert to fraction form
   10,896/23,460 = 23,460/x
3. Step 3: Cross multiply
   10,896x = 23,460 × 23,460
4. Step 4: Simplify right side
   10,896x = 550,371,600
5. Step 5: Solve for x
   x = 550,371,600/10,896
6. Step 6: Final answer
   x = 50,511.34