Finding the Third Proportional to 43,508 and 65,384

Step by Step Solution

1. Step 1: Write the proportion equation
   43,508 : 65,384 = 65,384 : x
2. Step 2: Convert to fraction form
   43,508/65,384 = 65,384/x
3. Step 3: Cross multiply
   43,508x = 65,384 × 65,384
4. Step 4: Simplify right side
   43,508x = 4,275,067,456
5. Step 5: Solve for x
   x = 4,275,067,456/43,508
6. Step 6: Final answer
   x = 98,259.34