Finding the Third Proportional to 42,393 and 65,538

Step by Step Solution

1. Step 1: Write the proportion equation
   42,393 : 65,538 = 65,538 : x
2. Step 2: Convert to fraction form
   42,393/65,538 = 65,538/x
3. Step 3: Cross multiply
   42,393x = 65,538 × 65,538
4. Step 4: Simplify right side
   42,393x = 4,295,229,444
5. Step 5: Solve for x
   x = 4,295,229,444/42,393
6. Step 6: Final answer
   x = 101,319.31