Finding the Third Proportional to 46,585 and 71,690

Step by Step Solution

1. Step 1: Write the proportion equation
   46,585 : 71,690 = 71,690 : x
2. Step 2: Convert to fraction form
   46,585/71,690 = 71,690/x
3. Step 3: Cross multiply
   46,585x = 71,690 × 71,690
4. Step 4: Simplify right side
   46,585x = 5,139,456,100
5. Step 5: Solve for x
   x = 5,139,456,100/46,585
6. Step 6: Final answer
   x = 110,324.27