Finding the Third Proportional to 10,398 and 24,546

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398 : 24,546 = 24,546 : x
2. Step 2: Convert to fraction form
   10,398/24,546 = 24,546/x
3. Step 3: Cross multiply
   10,398x = 24,546 × 24,546
4. Step 4: Simplify right side
   10,398x = 602,506,116
5. Step 5: Solve for x
   x = 602,506,116/10,398
6. Step 6: Final answer
   x = 57,944.42