Finding the Third Proportional to 11,454 and 23,642

Step by Step Solution

1. Step 1: Write the proportion equation
   11,454 : 23,642 = 23,642 : x
2. Step 2: Convert to fraction form
   11,454/23,642 = 23,642/x
3. Step 3: Cross multiply
   11,454x = 23,642 × 23,642
4. Step 4: Simplify right side
   11,454x = 558,944,164
5. Step 5: Solve for x
   x = 558,944,164/11,454
6. Step 6: Final answer
   x = 48,799.04