Finding the Third Proportional to 4,007.81 and 9,738.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,007.81 : 9,738.56 = 9,738.56 : x
2. Step 2: Convert to fraction form
   4,007.81/9,738.56 = 9,738.56/x
3. Step 3: Cross multiply
   4,007.81x = 9,738.56 × 9,738.56
4. Step 4: Simplify right side
   4,007.81x = 94,839,599.57
5. Step 5: Solve for x
   x = 94,839,599.57/4,007.81
6. Step 6: Final answer
   x = 23,663.68