Finding the Third Proportional to 10,024 and 10,920

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 10,920 = 10,920 : x
2. Step 2: Convert to fraction form
   10,024/10,920 = 10,920/x
3. Step 3: Cross multiply
   10,024x = 10,920 × 10,920
4. Step 4: Simplify right side
   10,024x = 119,246,400
5. Step 5: Solve for x
   x = 119,246,400/10,024
6. Step 6: Final answer
   x = 11,896.09