Finding the Third Proportional to 5,634.56 and 10,555.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634.56 : 10,555.31 = 10,555.31 : x
2. Step 2: Convert to fraction form
   5,634.56/10,555.31 = 10,555.31/x
3. Step 3: Cross multiply
   5,634.56x = 10,555.31 × 10,555.31
4. Step 4: Simplify right side
   5,634.56x = 111,414,621.97
5. Step 5: Solve for x
   x = 111,414,621.97/5,634.56
6. Step 6: Final answer
   x = 19,773.43