Finding the Third Proportional to 3,731.81 and 5,824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,731.81 : 5,824.69 = 5,824.69 : x
2. Step 2: Convert to fraction form
   3,731.81/5,824.69 = 5,824.69/x
3. Step 3: Cross multiply
   3,731.81x = 5,824.69 × 5,824.69
4. Step 4: Simplify right side
   3,731.81x = 33,926,984.47
5. Step 5: Solve for x
   x = 33,926,984.47/3,731.81
6. Step 6: Final answer
   x = 9,091.29