Finding the Third Proportional to 42,684 and 65,952

Step by Step Solution

1. Step 1: Write the proportion equation
   42,684 : 65,952 = 65,952 : x
2. Step 2: Convert to fraction form
   42,684/65,952 = 65,952/x
3. Step 3: Cross multiply
   42,684x = 65,952 × 65,952
4. Step 4: Simplify right side
   42,684x = 4,349,666,304
5. Step 5: Solve for x
   x = 4,349,666,304/42,684
6. Step 6: Final answer
   x = 101,903.91