Finding the Third Proportional to 10,265 and 22,546

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265 : 22,546 = 22,546 : x
2. Step 2: Convert to fraction form
   10,265/22,546 = 22,546/x
3. Step 3: Cross multiply
   10,265x = 22,546 × 22,546
4. Step 4: Simplify right side
   10,265x = 508,322,116
5. Step 5: Solve for x
   x = 508,322,116/10,265
6. Step 6: Final answer
   x = 49,519.93