Finding the Third Proportional to 10,796 and 23,488

Step by Step Solution

1. Step 1: Write the proportion equation
   10,796 : 23,488 = 23,488 : x
2. Step 2: Convert to fraction form
   10,796/23,488 = 23,488/x
3. Step 3: Cross multiply
   10,796x = 23,488 × 23,488
4. Step 4: Simplify right side
   10,796x = 551,686,144
5. Step 5: Solve for x
   x = 551,686,144/10,796
6. Step 6: Final answer
   x = 51,100.98