Finding the Third Proportional to 5,072.25 and 10,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,072.25 : 10,456.50 = 10,456.50 : x
2. Step 2: Convert to fraction form
   5,072.25/10,456.50 = 10,456.50/x
3. Step 3: Cross multiply
   5,072.25x = 10,456.50 × 10,456.50
4. Step 4: Simplify right side
   5,072.25x = 109,338,392.25
5. Step 5: Solve for x
   x = 109,338,392.25/5,072.25
6. Step 6: Final answer
   x = 21,556.19