Finding the Third Proportional to 10,405.13 and 22,756.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.13 : 22,756.78 = 22,756.78 : x
2. Step 2: Convert to fraction form
   10,405.13/22,756.78 = 22,756.78/x
3. Step 3: Cross multiply
   10,405.13x = 22,756.78 × 22,756.78
4. Step 4: Simplify right side
   10,405.13x = 517,871,092.86
5. Step 5: Solve for x
   x = 517,871,092.86/10,405.13
6. Step 6: Final answer
   x = 49,770.77