Finding the Third Proportional to 1,577.81 and 3,723.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.81 : 3,723.05 = 3,723.05 : x
2. Step 2: Convert to fraction form
   1,577.81/3,723.05 = 3,723.05/x
3. Step 3: Cross multiply
   1,577.81x = 3,723.05 × 3,723.05
4. Step 4: Simplify right side
   1,577.81x = 13,861,078.03
5. Step 5: Solve for x
   x = 13,861,078.03/1,577.81
6. Step 6: Final answer
   x = 8,785.00