Finding the Third Proportional to 10,777.50 and 22,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.50 : 22,858.50 = 22,858.50 : x
2. Step 2: Convert to fraction form
   10,777.50/22,858.50 = 22,858.50/x
3. Step 3: Cross multiply
   10,777.50x = 22,858.50 × 22,858.50
4. Step 4: Simplify right side
   10,777.50x = 522,511,022.25
5. Step 5: Solve for x
   x = 522,511,022.25/10,777.50
6. Step 6: Final answer
   x = 48,481.65