Finding the Third Proportional to 48,584 and 65,648

Step by Step Solution

1. Step 1: Write the proportion equation
   48,584 : 65,648 = 65,648 : x
2. Step 2: Convert to fraction form
   48,584/65,648 = 65,648/x
3. Step 3: Cross multiply
   48,584x = 65,648 × 65,648
4. Step 4: Simplify right side
   48,584x = 4,309,659,904
5. Step 5: Solve for x
   x = 4,309,659,904/48,584
6. Step 6: Final answer
   x = 88,705.33