Finding the Third Proportional to 46,582 and 65,849

Step by Step Solution

1. Step 1: Write the proportion equation
   46,582 : 65,849 = 65,849 : x
2. Step 2: Convert to fraction form
   46,582/65,849 = 65,849/x
3. Step 3: Cross multiply
   46,582x = 65,849 × 65,849
4. Step 4: Simplify right side
   46,582x = 4,336,090,801
5. Step 5: Solve for x
   x = 4,336,090,801/46,582
6. Step 6: Final answer
   x = 93,085.11