Finding the Third Proportional to 24,144 and 51,003

Step by Step Solution

1. Step 1: Write the proportion equation
   24,144 : 51,003 = 51,003 : x
2. Step 2: Convert to fraction form
   24,144/51,003 = 51,003/x
3. Step 3: Cross multiply
   24,144x = 51,003 × 51,003
4. Step 4: Simplify right side
   24,144x = 2,601,306,009
5. Step 5: Solve for x
   x = 2,601,306,009/24,144
6. Step 6: Final answer
   x = 107,741.30