Finding the Third Proportional to 46,314 and 65,582

Step by Step Solution

1. Step 1: Write the proportion equation
   46,314 : 65,582 = 65,582 : x
2. Step 2: Convert to fraction form
   46,314/65,582 = 65,582/x
3. Step 3: Cross multiply
   46,314x = 65,582 × 65,582
4. Step 4: Simplify right side
   46,314x = 4,300,998,724
5. Step 5: Solve for x
   x = 4,300,998,724/46,314
6. Step 6: Final answer
   x = 92,866.06