Finding the Third Proportional to 34,805 and 76,414

Step by Step Solution

1. Step 1: Write the proportion equation
   34,805 : 76,414 = 76,414 : x
2. Step 2: Convert to fraction form
   34,805/76,414 = 76,414/x
3. Step 3: Cross multiply
   34,805x = 76,414 × 76,414
4. Step 4: Simplify right side
   34,805x = 5,839,099,396
5. Step 5: Solve for x
   x = 5,839,099,396/34,805
6. Step 6: Final answer
   x = 167,766.11