Finding the Third Proportional to 10,505.81 and 22,761.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.81 : 22,761.56 = 22,761.56 : x
2. Step 2: Convert to fraction form
   10,505.81/22,761.56 = 22,761.56/x
3. Step 3: Cross multiply
   10,505.81x = 22,761.56 × 22,761.56
4. Step 4: Simplify right side
   10,505.81x = 518,088,727.44
5. Step 5: Solve for x
   x = 518,088,727.44/10,505.81
6. Step 6: Final answer
   x = 49,314.48