Finding the Third Proportional to 35,375 and 76,462

Step by Step Solution

1. Step 1: Write the proportion equation
   35,375 : 76,462 = 76,462 : x
2. Step 2: Convert to fraction form
   35,375/76,462 = 76,462/x
3. Step 3: Cross multiply
   35,375x = 76,462 × 76,462
4. Step 4: Simplify right side
   35,375x = 5,846,437,444
5. Step 5: Solve for x
   x = 5,846,437,444/35,375
6. Step 6: Final answer
   x = 165,270.32