Finding the Third Proportional to 11,002 and 22,783

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002 : 22,783 = 22,783 : x
2. Step 2: Convert to fraction form
   11,002/22,783 = 22,783/x
3. Step 3: Cross multiply
   11,002x = 22,783 × 22,783
4. Step 4: Simplify right side
   11,002x = 519,065,089
5. Step 5: Solve for x
   x = 519,065,089/11,002
6. Step 6: Final answer
   x = 47,179.16