Finding the Third Proportional to 34,018 and 72,083

Step by Step Solution

1. Step 1: Write the proportion equation
   34,018 : 72,083 = 72,083 : x
2. Step 2: Convert to fraction form
   34,018/72,083 = 72,083/x
3. Step 3: Cross multiply
   34,018x = 72,083 × 72,083
4. Step 4: Simplify right side
   34,018x = 5,195,958,889
5. Step 5: Solve for x
   x = 5,195,958,889/34,018
6. Step 6: Final answer
   x = 152,741.46