Finding the Third Proportional to 10,083 and 22,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083 : 22,150.50 = 22,150.50 : x
2. Step 2: Convert to fraction form
   10,083/22,150.50 = 22,150.50/x
3. Step 3: Cross multiply
   10,083x = 22,150.50 × 22,150.50
4. Step 4: Simplify right side
   10,083x = 490,644,650.25
5. Step 5: Solve for x
   x = 490,644,650.25/10,083
6. Step 6: Final answer
   x = 48,660.58