Finding the Third Proportional to 2,861.63 and 4,332.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,861.63 : 4,332.56 = 4,332.56 : x
2. Step 2: Convert to fraction form
   2,861.63/4,332.56 = 4,332.56/x
3. Step 3: Cross multiply
   2,861.63x = 4,332.56 × 4,332.56
4. Step 4: Simplify right side
   2,861.63x = 18,771,097.82
5. Step 5: Solve for x
   x = 18,771,097.82/2,861.63
6. Step 6: Final answer
   x = 6,559.59