Finding the Third Proportional to 10,024 and 20,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 20,688 = 20,688 : x
2. Step 2: Convert to fraction form
   10,024/20,688 = 20,688/x
3. Step 3: Cross multiply
   10,024x = 20,688 × 20,688
4. Step 4: Simplify right side
   10,024x = 427,993,344
5. Step 5: Solve for x
   x = 427,993,344/10,024
6. Step 6: Final answer
   x = 42,696.86