Finding the Third Proportional to 36,941 and 76,510

Step by Step Solution

1. Step 1: Write the proportion equation
   36,941 : 76,510 = 76,510 : x
2. Step 2: Convert to fraction form
   36,941/76,510 = 76,510/x
3. Step 3: Cross multiply
   36,941x = 76,510 × 76,510
4. Step 4: Simplify right side
   36,941x = 5,853,780,100
5. Step 5: Solve for x
   x = 5,853,780,100/36,941
6. Step 6: Final answer
   x = 158,462.96