Finding the Third Proportional to 2,642.63 and 5,958.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.63 : 5,958.56 = 5,958.56 : x
2. Step 2: Convert to fraction form
   2,642.63/5,958.56 = 5,958.56/x
3. Step 3: Cross multiply
   2,642.63x = 5,958.56 × 5,958.56
4. Step 4: Simplify right side
   2,642.63x = 35,504,467.07
5. Step 5: Solve for x
   x = 35,504,467.07/2,642.63
6. Step 6: Final answer
   x = 13,435.30