Finding the Third Proportional to 10,398 and 23,547

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398 : 23,547 = 23,547 : x
2. Step 2: Convert to fraction form
   10,398/23,547 = 23,547/x
3. Step 3: Cross multiply
   10,398x = 23,547 × 23,547
4. Step 4: Simplify right side
   10,398x = 554,461,209
5. Step 5: Solve for x
   x = 554,461,209/10,398
6. Step 6: Final answer
   x = 53,323.83