Finding the Third Proportional to 15,535 and 24,099

Step by Step Solution

1. Step 1: Write the proportion equation
   15,535 : 24,099 = 24,099 : x
2. Step 2: Convert to fraction form
   15,535/24,099 = 24,099/x
3. Step 3: Cross multiply
   15,535x = 24,099 × 24,099
4. Step 4: Simplify right side
   15,535x = 580,761,801
5. Step 5: Solve for x
   x = 580,761,801/15,535
6. Step 6: Final answer
   x = 37,384.09