Finding the Third Proportional to 1,823.48 and 3,896.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.48 : 3,896.72 = 3,896.72 : x
2. Step 2: Convert to fraction form
   1,823.48/3,896.72 = 3,896.72/x
3. Step 3: Cross multiply
   1,823.48x = 3,896.72 × 3,896.72
4. Step 4: Simplify right side
   1,823.48x = 15,184,417.02
5. Step 5: Solve for x
   x = 15,184,417.02/1,823.48
6. Step 6: Final answer
   x = 8,327.14