Finding the Third Proportional to 10,641.25 and 16,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.25 : 16,109.75 = 16,109.75 : x
2. Step 2: Convert to fraction form
   10,641.25/16,109.75 = 16,109.75/x
3. Step 3: Cross multiply
   10,641.25x = 16,109.75 × 16,109.75
4. Step 4: Simplify right side
   10,641.25x = 259,524,045.06
5. Step 5: Solve for x
   x = 259,524,045.06/10,641.25
6. Step 6: Final answer
   x = 24,388.49