Finding the Third Proportional to 34,086 and 71,304

Step by Step Solution

1. Step 1: Write the proportion equation
   34,086 : 71,304 = 71,304 : x
2. Step 2: Convert to fraction form
   34,086/71,304 = 71,304/x
3. Step 3: Cross multiply
   34,086x = 71,304 × 71,304
4. Step 4: Simplify right side
   34,086x = 5,084,260,416
5. Step 5: Solve for x
   x = 5,084,260,416/34,086
6. Step 6: Final answer
   x = 149,159.78