Finding the Third Proportional to 33,003 and 51,128

Step by Step Solution

1. Step 1: Write the proportion equation
   33,003 : 51,128 = 51,128 : x
2. Step 2: Convert to fraction form
   33,003/51,128 = 51,128/x
3. Step 3: Cross multiply
   33,003x = 51,128 × 51,128
4. Step 4: Simplify right side
   33,003x = 2,614,072,384
5. Step 5: Solve for x
   x = 2,614,072,384/33,003
6. Step 6: Final answer
   x = 79,207.11