Finding the Third Proportional to 34,018 and 73,502

Step by Step Solution

1. Step 1: Write the proportion equation
   34,018 : 73,502 = 73,502 : x
2. Step 2: Convert to fraction form
   34,018/73,502 = 73,502/x
3. Step 3: Cross multiply
   34,018x = 73,502 × 73,502
4. Step 4: Simplify right side
   34,018x = 5,402,544,004
5. Step 5: Solve for x
   x = 5,402,544,004/34,018
6. Step 6: Final answer
   x = 158,814.27