Finding the Third Proportional to 11,500 and 24,642

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 24,642 = 24,642 : x
2. Step 2: Convert to fraction form
   11,500/24,642 = 24,642/x
3. Step 3: Cross multiply
   11,500x = 24,642 × 24,642
4. Step 4: Simplify right side
   11,500x = 607,228,164
5. Step 5: Solve for x
   x = 607,228,164/11,500
6. Step 6: Final answer
   x = 52,802.45