Finding the Third Proportional to 23,766.54 and 31,822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   23,766.54 : 31,822.56 = 31,822.56 : x
2. Step 2: Convert to fraction form
   23,766.54/31,822.56 = 31,822.56/x
3. Step 3: Cross multiply
   23,766.54x = 31,822.56 × 31,822.56
4. Step 4: Simplify right side
   23,766.54x = 1,012,675,235.45
5. Step 5: Solve for x
   x = 1,012,675,235.45/23,766.54
6. Step 6: Final answer
   x = 42,609.28