Finding the Third Proportional to 31,782 and 46,610

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 46,610 = 46,610 : x
2. Step 2: Convert to fraction form
   31,782/46,610 = 46,610/x
3. Step 3: Cross multiply
   31,782x = 46,610 × 46,610
4. Step 4: Simplify right side
   31,782x = 2,172,492,100
5. Step 5: Solve for x
   x = 2,172,492,100/31,782
6. Step 6: Final answer
   x = 68,356.05