Finding the Third Proportional to 10,796 and 23,624

Step by Step Solution

1. Step 1: Write the proportion equation
   10,796 : 23,624 = 23,624 : x
2. Step 2: Convert to fraction form
   10,796/23,624 = 23,624/x
3. Step 3: Cross multiply
   10,796x = 23,624 × 23,624
4. Step 4: Simplify right side
   10,796x = 558,093,376
5. Step 5: Solve for x
   x = 558,093,376/10,796
6. Step 6: Final answer
   x = 51,694.46