Finding the Third Proportional to 46,792 and 65,486

Step by Step Solution

1. Step 1: Write the proportion equation
   46,792 : 65,486 = 65,486 : x
2. Step 2: Convert to fraction form
   46,792/65,486 = 65,486/x
3. Step 3: Cross multiply
   46,792x = 65,486 × 65,486
4. Step 4: Simplify right side
   46,792x = 4,288,416,196
5. Step 5: Solve for x
   x = 4,288,416,196/46,792
6. Step 6: Final answer
   x = 91,648.49