Finding the Third Proportional to 9,852 and 22,783

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852 : 22,783 = 22,783 : x
2. Step 2: Convert to fraction form
   9,852/22,783 = 22,783/x
3. Step 3: Cross multiply
   9,852x = 22,783 × 22,783
4. Step 4: Simplify right side
   9,852x = 519,065,089
5. Step 5: Solve for x
   x = 519,065,089/9,852
6. Step 6: Final answer
   x = 52,686.27