Finding the Third Proportional to 10,219.75 and 22,055.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.75 : 22,055.25 = 22,055.25 : x
2. Step 2: Convert to fraction form
   10,219.75/22,055.25 = 22,055.25/x
3. Step 3: Cross multiply
   10,219.75x = 22,055.25 × 22,055.25
4. Step 4: Simplify right side
   10,219.75x = 486,434,052.56
5. Step 5: Solve for x
   x = 486,434,052.56/10,219.75
6. Step 6: Final answer
   x = 47,597.45