Finding the Third Proportional to 34,912 and 76,304

Step by Step Solution

1. Step 1: Write the proportion equation
   34,912 : 76,304 = 76,304 : x
2. Step 2: Convert to fraction form
   34,912/76,304 = 76,304/x
3. Step 3: Cross multiply
   34,912x = 76,304 × 76,304
4. Step 4: Simplify right side
   34,912x = 5,822,300,416
5. Step 5: Solve for x
   x = 5,822,300,416/34,912
6. Step 6: Final answer
   x = 166,770.75