Finding the Third Proportional to 2,561.63 and 4,186.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.63 : 4,186.69 = 4,186.69 : x
2. Step 2: Convert to fraction form
   2,561.63/4,186.69 = 4,186.69/x
3. Step 3: Cross multiply
   2,561.63x = 4,186.69 × 4,186.69
4. Step 4: Simplify right side
   2,561.63x = 17,528,352.22
5. Step 5: Solve for x
   x = 17,528,352.22/2,561.63
6. Step 6: Final answer
   x = 6,842.67