Finding the Third Proportional to 10,255 and 21,725

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255 : 21,725 = 21,725 : x
2. Step 2: Convert to fraction form
   10,255/21,725 = 21,725/x
3. Step 3: Cross multiply
   10,255x = 21,725 × 21,725
4. Step 4: Simplify right side
   10,255x = 471,975,625
5. Step 5: Solve for x
   x = 471,975,625/10,255
6. Step 6: Final answer
   x = 46,023.95