Finding the Third Proportional to 34,109 and 72,274

Step by Step Solution

1. Step 1: Write the proportion equation
   34,109 : 72,274 = 72,274 : x
2. Step 2: Convert to fraction form
   34,109/72,274 = 72,274/x
3. Step 3: Cross multiply
   34,109x = 72,274 × 72,274
4. Step 4: Simplify right side
   34,109x = 5,223,531,076
5. Step 5: Solve for x
   x = 5,223,531,076/34,109
6. Step 6: Final answer
   x = 153,142.31