Finding the Third Proportional to 10,199.25 and 20,783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.25 : 20,783.25 = 20,783.25 : x
2. Step 2: Convert to fraction form
   10,199.25/20,783.25 = 20,783.25/x
3. Step 3: Cross multiply
   10,199.25x = 20,783.25 × 20,783.25
4. Step 4: Simplify right side
   10,199.25x = 431,943,480.56
5. Step 5: Solve for x
   x = 431,943,480.56/10,199.25
6. Step 6: Final answer
   x = 42,350.51