Finding the Third Proportional to 34,003 and 74,728

Step by Step Solution

1. Step 1: Write the proportion equation
   34,003 : 74,728 = 74,728 : x
2. Step 2: Convert to fraction form
   34,003/74,728 = 74,728/x
3. Step 3: Cross multiply
   34,003x = 74,728 × 74,728
4. Step 4: Simplify right side
   34,003x = 5,584,273,984
5. Step 5: Solve for x
   x = 5,584,273,984/34,003
6. Step 6: Final answer
   x = 164,228.86