Finding the Third Proportional to 34,509 and 71,223

Step by Step Solution

1. Step 1: Write the proportion equation
   34,509 : 71,223 = 71,223 : x
2. Step 2: Convert to fraction form
   34,509/71,223 = 71,223/x
3. Step 3: Cross multiply
   34,509x = 71,223 × 71,223
4. Step 4: Simplify right side
   34,509x = 5,072,715,729
5. Step 5: Solve for x
   x = 5,072,715,729/34,509
6. Step 6: Final answer
   x = 146,996.89