Finding the Third Proportional to 34,013 and 72,143

Step by Step Solution

1. Step 1: Write the proportion equation
   34,013 : 72,143 = 72,143 : x
2. Step 2: Convert to fraction form
   34,013/72,143 = 72,143/x
3. Step 3: Cross multiply
   34,013x = 72,143 × 72,143
4. Step 4: Simplify right side
   34,013x = 5,204,612,449
5. Step 5: Solve for x
   x = 5,204,612,449/34,013
6. Step 6: Final answer
   x = 153,018.33