Finding the Third Proportional to 35,749 and 76,404

Step by Step Solution

1. Step 1: Write the proportion equation
   35,749 : 76,404 = 76,404 : x
2. Step 2: Convert to fraction form
   35,749/76,404 = 76,404/x
3. Step 3: Cross multiply
   35,749x = 76,404 × 76,404
4. Step 4: Simplify right side
   35,749x = 5,837,571,216
5. Step 5: Solve for x
   x = 5,837,571,216/35,749
6. Step 6: Final answer
   x = 163,293.27