Finding the Third Proportional to 31,767.75 and 46,727.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,767.75 : 46,727.63 = 46,727.63 : x
2. Step 2: Convert to fraction form
   31,767.75/46,727.63 = 46,727.63/x
3. Step 3: Cross multiply
   31,767.75x = 46,727.63 × 46,727.63
4. Step 4: Simplify right side
   31,767.75x = 2,183,470,938.14
5. Step 5: Solve for x
   x = 2,183,470,938.14/31,767.75
6. Step 6: Final answer
   x = 68,732.31