Finding the Third Proportional to 1,756.69 and 3,866.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,756.69 : 3,866.48 = 3,866.48 : x
2. Step 2: Convert to fraction form
   1,756.69/3,866.48 = 3,866.48/x
3. Step 3: Cross multiply
   1,756.69x = 3,866.48 × 3,866.48
4. Step 4: Simplify right side
   1,756.69x = 14,949,701.42
5. Step 5: Solve for x
   x = 14,949,701.42/1,756.69
6. Step 6: Final answer
   x = 8,510.17