Finding the Third Proportional to 65,584 and 100,960

Step by Step Solution

1. Step 1: Write the proportion equation
   65,584 : 100,960 = 100,960 : x
2. Step 2: Convert to fraction form
   65,584/100,960 = 100,960/x
3. Step 3: Cross multiply
   65,584x = 100,960 × 100,960
4. Step 4: Simplify right side
   65,584x = 10,192,921,600
5. Step 5: Solve for x
   x = 10,192,921,600/65,584
6. Step 6: Final answer
   x = 155,417.81