Finding the Third Proportional to 34,019 and 72,156

Step by Step Solution

1. Step 1: Write the proportion equation
   34,019 : 72,156 = 72,156 : x
2. Step 2: Convert to fraction form
   34,019/72,156 = 72,156/x
3. Step 3: Cross multiply
   34,019x = 72,156 × 72,156
4. Step 4: Simplify right side
   34,019x = 5,206,488,336
5. Step 5: Solve for x
   x = 5,206,488,336/34,019
6. Step 6: Final answer
   x = 153,046.48