Finding the Third Proportional to 34,573 and 74,401

Step by Step Solution

1. Step 1: Write the proportion equation
   34,573 : 74,401 = 74,401 : x
2. Step 2: Convert to fraction form
   34,573/74,401 = 74,401/x
3. Step 3: Cross multiply
   34,573x = 74,401 × 74,401
4. Step 4: Simplify right side
   34,573x = 5,535,508,801
5. Step 5: Solve for x
   x = 5,535,508,801/34,573
6. Step 6: Final answer
   x = 160,110.75