Finding the Third Proportional to 1,826.72 and 3,973.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.72 : 3,973.64 = 3,973.64 : x
2. Step 2: Convert to fraction form
   1,826.72/3,973.64 = 3,973.64/x
3. Step 3: Cross multiply
   1,826.72x = 3,973.64 × 3,973.64
4. Step 4: Simplify right side
   1,826.72x = 15,789,819.82
5. Step 5: Solve for x
   x = 15,789,819.82/1,826.72
6. Step 6: Final answer
   x = 8,643.82