Finding the Third Proportional to 10,284.75 and 21,642.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,284.75 : 21,642.75 = 21,642.75 : x
2. Step 2: Convert to fraction form
   10,284.75/21,642.75 = 21,642.75/x
3. Step 3: Cross multiply
   10,284.75x = 21,642.75 × 21,642.75
4. Step 4: Simplify right side
   10,284.75x = 468,408,627.56
5. Step 5: Solve for x
   x = 468,408,627.56/10,284.75
6. Step 6: Final answer
   x = 45,544.00