Finding the Third Proportional to 10,257.75 and 21,089.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.75 : 21,089.25 = 21,089.25 : x
2. Step 2: Convert to fraction form
   10,257.75/21,089.25 = 21,089.25/x
3. Step 3: Cross multiply
   10,257.75x = 21,089.25 × 21,089.25
4. Step 4: Simplify right side
   10,257.75x = 444,756,465.56
5. Step 5: Solve for x
   x = 444,756,465.56/10,257.75
6. Step 6: Final answer
   x = 43,358.09