Finding the Third Proportional to 2,529.56 and 4,964.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,529.56 : 4,964.63 = 4,964.63 : x
2. Step 2: Convert to fraction form
   2,529.56/4,964.63 = 4,964.63/x
3. Step 3: Cross multiply
   2,529.56x = 4,964.63 × 4,964.63
4. Step 4: Simplify right side
   2,529.56x = 24,647,501.39
5. Step 5: Solve for x
   x = 24,647,501.39/2,529.56
6. Step 6: Final answer
   x = 9,743.78