Finding the Third Proportional to 31,780 and 46,685

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 46,685 = 46,685 : x
2. Step 2: Convert to fraction form
   31,780/46,685 = 46,685/x
3. Step 3: Cross multiply
   31,780x = 46,685 × 46,685
4. Step 4: Simplify right side
   31,780x = 2,179,489,225
5. Step 5: Solve for x
   x = 2,179,489,225/31,780
6. Step 6: Final answer
   x = 68,580.53