Finding the Third Proportional to 10,654 and 23,384

Step by Step Solution

1. Step 1: Write the proportion equation
   10,654 : 23,384 = 23,384 : x
2. Step 2: Convert to fraction form
   10,654/23,384 = 23,384/x
3. Step 3: Cross multiply
   10,654x = 23,384 × 23,384
4. Step 4: Simplify right side
   10,654x = 546,811,456
5. Step 5: Solve for x
   x = 546,811,456/10,654
6. Step 6: Final answer
   x = 51,324.52