Finding the Third Proportional to 11,534 and 23,388

Step by Step Solution

1. Step 1: Write the proportion equation
   11,534 : 23,388 = 23,388 : x
2. Step 2: Convert to fraction form
   11,534/23,388 = 23,388/x
3. Step 3: Cross multiply
   11,534x = 23,388 × 23,388
4. Step 4: Simplify right side
   11,534x = 546,998,544
5. Step 5: Solve for x
   x = 546,998,544/11,534
6. Step 6: Final answer
   x = 47,424.88