Finding the Third Proportional to 35,739 and 52,538

Step by Step Solution

1. Step 1: Write the proportion equation
   35,739 : 52,538 = 52,538 : x
2. Step 2: Convert to fraction form
   35,739/52,538 = 52,538/x
3. Step 3: Cross multiply
   35,739x = 52,538 × 52,538
4. Step 4: Simplify right side
   35,739x = 2,760,241,444
5. Step 5: Solve for x
   x = 2,760,241,444/35,739
6. Step 6: Final answer
   x = 77,233.31