Finding the Third Proportional to 10,777.50 and 22,857.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.50 : 22,857.75 = 22,857.75 : x
2. Step 2: Convert to fraction form
   10,777.50/22,857.75 = 22,857.75/x
3. Step 3: Cross multiply
   10,777.50x = 22,857.75 × 22,857.75
4. Step 4: Simplify right side
   10,777.50x = 522,476,735.06
5. Step 5: Solve for x
   x = 522,476,735.06/10,777.50
6. Step 6: Final answer
   x = 48,478.47