Finding the Third Proportional to 10,226.25 and 21,380.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226.25 : 21,380.63 = 21,380.63 : x
2. Step 2: Convert to fraction form
   10,226.25/21,380.63 = 21,380.63/x
3. Step 3: Cross multiply
   10,226.25x = 21,380.63 × 21,380.63
4. Step 4: Simplify right side
   10,226.25x = 457,131,125.39
5. Step 5: Solve for x
   x = 457,131,125.39/10,226.25
6. Step 6: Final answer
   x = 44,701.74