Finding the Third Proportional to 13,770 and 24,003

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 24,003 = 24,003 : x
2. Step 2: Convert to fraction form
   13,770/24,003 = 24,003/x
3. Step 3: Cross multiply
   13,770x = 24,003 × 24,003
4. Step 4: Simplify right side
   13,770x = 576,144,009
5. Step 5: Solve for x
   x = 576,144,009/13,770
6. Step 6: Final answer
   x = 41,840.52