Finding the Third Proportional to 1,842.19 and 3,790.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,842.19 : 3,790.69 = 3,790.69 : x
2. Step 2: Convert to fraction form
   1,842.19/3,790.69 = 3,790.69/x
3. Step 3: Cross multiply
   1,842.19x = 3,790.69 × 3,790.69
4. Step 4: Simplify right side
   1,842.19x = 14,369,311.72
5. Step 5: Solve for x
   x = 14,369,311.72/1,842.19
6. Step 6: Final answer
   x = 7,800.14