Finding the Third Proportional to 3,790.50 and 5,842.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,790.50 : 5,842.69 = 5,842.69 : x
2. Step 2: Convert to fraction form
   3,790.50/5,842.69 = 5,842.69/x
3. Step 3: Cross multiply
   3,790.50x = 5,842.69 × 5,842.69
4. Step 4: Simplify right side
   3,790.50x = 34,136,997.22
5. Step 5: Solve for x
   x = 34,136,997.22/3,790.50
6. Step 6: Final answer
   x = 9,005.94