Finding the Third Proportional to 35,740 and 52,540

Step by Step Solution

1. Step 1: Write the proportion equation
   35,740 : 52,540 = 52,540 : x
2. Step 2: Convert to fraction form
   35,740/52,540 = 52,540/x
3. Step 3: Cross multiply
   35,740x = 52,540 × 52,540
4. Step 4: Simplify right side
   35,740x = 2,760,451,600
5. Step 5: Solve for x
   x = 2,760,451,600/35,740
6. Step 6: Final answer
   x = 77,237.03