Finding the Third Proportional to 10,282.75 and 22,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.75 : 22,424.50 = 22,424.50 : x
2. Step 2: Convert to fraction form
   10,282.75/22,424.50 = 22,424.50/x
3. Step 3: Cross multiply
   10,282.75x = 22,424.50 × 22,424.50
4. Step 4: Simplify right side
   10,282.75x = 502,858,200.25
5. Step 5: Solve for x
   x = 502,858,200.25/10,282.75
6. Step 6: Final answer
   x = 48,903.09