Finding the Third Proportional to 2,101.57 and 4,527.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,101.57 : 4,527.77 = 4,527.77 : x
2. Step 2: Convert to fraction form
   2,101.57/4,527.77 = 4,527.77/x
3. Step 3: Cross multiply
   2,101.57x = 4,527.77 × 4,527.77
4. Step 4: Simplify right side
   2,101.57x = 20,500,732.30
5. Step 5: Solve for x
   x = 20,500,732.30/2,101.57
6. Step 6: Final answer
   x = 9,754.96