Finding the Third Proportional to 10,822.50 and 23,628.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.50 : 23,628.94 = 23,628.94 : x
2. Step 2: Convert to fraction form
   10,822.50/23,628.94 = 23,628.94/x
3. Step 3: Cross multiply
   10,822.50x = 23,628.94 × 23,628.94
4. Step 4: Simplify right side
   10,822.50x = 558,326,687.38
5. Step 5: Solve for x
   x = 558,326,687.38/10,822.50
6. Step 6: Final answer
   x = 51,589.44