Finding the Third Proportional to 9,820 and 23,002

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820 : 23,002 = 23,002 : x
2. Step 2: Convert to fraction form
   9,820/23,002 = 23,002/x
3. Step 3: Cross multiply
   9,820x = 23,002 × 23,002
4. Step 4: Simplify right side
   9,820x = 529,092,004
5. Step 5: Solve for x
   x = 529,092,004/9,820
6. Step 6: Final answer
   x = 53,879.02