Finding the Third Proportional to 10,770.75 and 22,845.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,770.75 : 22,845.38 = 22,845.38 : x
2. Step 2: Convert to fraction form
   10,770.75/22,845.38 = 22,845.38/x
3. Step 3: Cross multiply
   10,770.75x = 22,845.38 × 22,845.38
4. Step 4: Simplify right side
   10,770.75x = 521,911,158.89
5. Step 5: Solve for x
   x = 521,911,158.89/10,770.75
6. Step 6: Final answer
   x = 48,456.34