Finding the Third Proportional to 10,478 and 23,697

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478 : 23,697 = 23,697 : x
2. Step 2: Convert to fraction form
   10,478/23,697 = 23,697/x
3. Step 3: Cross multiply
   10,478x = 23,697 × 23,697
4. Step 4: Simplify right side
   10,478x = 561,547,809
5. Step 5: Solve for x
   x = 561,547,809/10,478
6. Step 6: Final answer
   x = 53,593.03