Finding the Third Proportional to 10,783 and 22,862

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783 : 22,862 = 22,862 : x
2. Step 2: Convert to fraction form
   10,783/22,862 = 22,862/x
3. Step 3: Cross multiply
   10,783x = 22,862 × 22,862
4. Step 4: Simplify right side
   10,783x = 522,671,044
5. Step 5: Solve for x
   x = 522,671,044/10,783
6. Step 6: Final answer
   x = 48,471.77