Finding the Third Proportional to 4,186.25 and 5,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,186.25 : 5,740.50 = 5,740.50 : x
2. Step 2: Convert to fraction form
   4,186.25/5,740.50 = 5,740.50/x
3. Step 3: Cross multiply
   4,186.25x = 5,740.50 × 5,740.50
4. Step 4: Simplify right side
   4,186.25x = 32,953,340.25
5. Step 5: Solve for x
   x = 32,953,340.25/4,186.25
6. Step 6: Final answer
   x = 7,871.80