Finding the Third Proportional to 35,540 and 53,062

Step by Step Solution

1. Step 1: Write the proportion equation
   35,540 : 53,062 = 53,062 : x
2. Step 2: Convert to fraction form
   35,540/53,062 = 53,062/x
3. Step 3: Cross multiply
   35,540x = 53,062 × 53,062
4. Step 4: Simplify right side
   35,540x = 2,815,575,844
5. Step 5: Solve for x
   x = 2,815,575,844/35,540
6. Step 6: Final answer
   x = 79,222.73