Finding the Third Proportional to 1,826.30 and 3,709.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.30 : 3,709.55 = 3,709.55 : x
2. Step 2: Convert to fraction form
   1,826.30/3,709.55 = 3,709.55/x
3. Step 3: Cross multiply
   1,826.30x = 3,709.55 × 3,709.55
4. Step 4: Simplify right side
   1,826.30x = 13,760,738.02
5. Step 5: Solve for x
   x = 13,760,738.02/1,826.30
6. Step 6: Final answer
   x = 7,534.78