Finding the Third Proportional to 35,746 and 76,401

Step by Step Solution

1. Step 1: Write the proportion equation
   35,746 : 76,401 = 76,401 : x
2. Step 2: Convert to fraction form
   35,746/76,401 = 76,401/x
3. Step 3: Cross multiply
   35,746x = 76,401 × 76,401
4. Step 4: Simplify right side
   35,746x = 5,837,112,801
5. Step 5: Solve for x
   x = 5,837,112,801/35,746
6. Step 6: Final answer
   x = 163,294.15