Finding the Third Proportional to 10,264 and 23,546

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 23,546 = 23,546 : x
2. Step 2: Convert to fraction form
   10,264/23,546 = 23,546/x
3. Step 3: Cross multiply
   10,264x = 23,546 × 23,546
4. Step 4: Simplify right side
   10,264x = 554,414,116
5. Step 5: Solve for x
   x = 554,414,116/10,264
6. Step 6: Final answer
   x = 54,015.40