Finding the Third Proportional to 34,014 and 74,049

Step by Step Solution

1. Step 1: Write the proportion equation
   34,014 : 74,049 = 74,049 : x
2. Step 2: Convert to fraction form
   34,014/74,049 = 74,049/x
3. Step 3: Cross multiply
   34,014x = 74,049 × 74,049
4. Step 4: Simplify right side
   34,014x = 5,483,254,401
5. Step 5: Solve for x
   x = 5,483,254,401/34,014
6. Step 6: Final answer
   x = 161,205.81