Finding the Third Proportional to 46,586 and 65,854

Step by Step Solution

1. Step 1: Write the proportion equation
   46,586 : 65,854 = 65,854 : x
2. Step 2: Convert to fraction form
   46,586/65,854 = 65,854/x
3. Step 3: Cross multiply
   46,586x = 65,854 × 65,854
4. Step 4: Simplify right side
   46,586x = 4,336,749,316
5. Step 5: Solve for x
   x = 4,336,749,316/46,586
6. Step 6: Final answer
   x = 93,091.26