Finding the Third Proportional to 46,584 and 65,852

Step by Step Solution

1. Step 1: Write the proportion equation
   46,584 : 65,852 = 65,852 : x
2. Step 2: Convert to fraction form
   46,584/65,852 = 65,852/x
3. Step 3: Cross multiply
   46,584x = 65,852 × 65,852
4. Step 4: Simplify right side
   46,584x = 4,336,485,904
5. Step 5: Solve for x
   x = 4,336,485,904/46,584
6. Step 6: Final answer
   x = 93,089.60