Finding the Third Proportional to 9,767.25 and 19,046.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.25 : 19,046.81 = 19,046.81 : x
2. Step 2: Convert to fraction form
   9,767.25/19,046.81 = 19,046.81/x
3. Step 3: Cross multiply
   9,767.25x = 19,046.81 × 19,046.81
4. Step 4: Simplify right side
   9,767.25x = 362,781,066.41
5. Step 5: Solve for x
   x = 362,781,066.41/9,767.25
6. Step 6: Final answer
   x = 37,142.60