Finding the Third Proportional to 5,089.50 and 10,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,089.50 : 10,641.75 = 10,641.75 : x
2. Step 2: Convert to fraction form
   5,089.50/10,641.75 = 10,641.75/x
3. Step 3: Cross multiply
   5,089.50x = 10,641.75 × 10,641.75
4. Step 4: Simplify right side
   5,089.50x = 113,246,843.06
5. Step 5: Solve for x
   x = 113,246,843.06/5,089.50
6. Step 6: Final answer
   x = 22,251.07