Finding the Third Proportional to 2,561.63 and 3,958.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.63 : 3,958.88 = 3,958.88 : x
2. Step 2: Convert to fraction form
   2,561.63/3,958.88 = 3,958.88/x
3. Step 3: Cross multiply
   2,561.63x = 3,958.88 × 3,958.88
4. Step 4: Simplify right side
   2,561.63x = 15,672,691.27
5. Step 5: Solve for x
   x = 15,672,691.27/2,561.63
6. Step 6: Final answer
   x = 6,118.26