Finding the Third Proportional to 10,422 and 22,695

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 22,695 = 22,695 : x
2. Step 2: Convert to fraction form
   10,422/22,695 = 22,695/x
3. Step 3: Cross multiply
   10,422x = 22,695 × 22,695
4. Step 4: Simplify right side
   10,422x = 515,063,025
5. Step 5: Solve for x
   x = 515,063,025/10,422
6. Step 6: Final answer
   x = 49,420.75