Finding the Third Proportional to 10,199.25 and 16,224.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.25 : 16,224.75 = 16,224.75 : x
2. Step 2: Convert to fraction form
   10,199.25/16,224.75 = 16,224.75/x
3. Step 3: Cross multiply
   10,199.25x = 16,224.75 × 16,224.75
4. Step 4: Simplify right side
   10,199.25x = 263,242,512.56
5. Step 5: Solve for x
   x = 263,242,512.56/10,199.25
6. Step 6: Final answer
   x = 25,809.99