Finding the Third Proportional to 34,757 and 74,434

Step by Step Solution

1. Step 1: Write the proportion equation
   34,757 : 74,434 = 74,434 : x
2. Step 2: Convert to fraction form
   34,757/74,434 = 74,434/x
3. Step 3: Cross multiply
   34,757x = 74,434 × 74,434
4. Step 4: Simplify right side
   34,757x = 5,540,420,356
5. Step 5: Solve for x
   x = 5,540,420,356/34,757
6. Step 6: Final answer
   x = 159,404.45