Finding the Third Proportional to 35,314 and 51,020

Step by Step Solution

1. Step 1: Write the proportion equation
   35,314 : 51,020 = 51,020 : x
2. Step 2: Convert to fraction form
   35,314/51,020 = 51,020/x
3. Step 3: Cross multiply
   35,314x = 51,020 × 51,020
4. Step 4: Simplify right side
   35,314x = 2,603,040,400
5. Step 5: Solve for x
   x = 2,603,040,400/35,314
6. Step 6: Final answer
   x = 73,711.29