Finding the Third Proportional to 34,012 and 72,142

Step by Step Solution

1. Step 1: Write the proportion equation
   34,012 : 72,142 = 72,142 : x
2. Step 2: Convert to fraction form
   34,012/72,142 = 72,142/x
3. Step 3: Cross multiply
   34,012x = 72,142 × 72,142
4. Step 4: Simplify right side
   34,012x = 5,204,468,164
5. Step 5: Solve for x
   x = 5,204,468,164/34,012
6. Step 6: Final answer
   x = 153,018.59