Finding the Third Proportional to 11,496 and 23,478

Step by Step Solution

1. Step 1: Write the proportion equation
   11,496 : 23,478 = 23,478 : x
2. Step 2: Convert to fraction form
   11,496/23,478 = 23,478/x
3. Step 3: Cross multiply
   11,496x = 23,478 × 23,478
4. Step 4: Simplify right side
   11,496x = 551,216,484
5. Step 5: Solve for x
   x = 551,216,484/11,496
6. Step 6: Final answer
   x = 47,948.55