Finding the Third Proportional to 10,024 and 21,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 21,784 = 21,784 : x
2. Step 2: Convert to fraction form
   10,024/21,784 = 21,784/x
3. Step 3: Cross multiply
   10,024x = 21,784 × 21,784
4. Step 4: Simplify right side
   10,024x = 474,542,656
5. Step 5: Solve for x
   x = 474,542,656/10,024
6. Step 6: Final answer
   x = 47,340.65