Finding the Third Proportional to 31,761 and 46,690

Step by Step Solution

1. Step 1: Write the proportion equation
   31,761 : 46,690 = 46,690 : x
2. Step 2: Convert to fraction form
   31,761/46,690 = 46,690/x
3. Step 3: Cross multiply
   31,761x = 46,690 × 46,690
4. Step 4: Simplify right side
   31,761x = 2,179,956,100
5. Step 5: Solve for x
   x = 2,179,956,100/31,761
6. Step 6: Final answer
   x = 68,636.26