Finding the Third Proportional to 1,653.75 and 3,566.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.75 : 3,566.81 = 3,566.81 : x
2. Step 2: Convert to fraction form
   1,653.75/3,566.81 = 3,566.81/x
3. Step 3: Cross multiply
   1,653.75x = 3,566.81 × 3,566.81
4. Step 4: Simplify right side
   1,653.75x = 12,722,151.41
5. Step 5: Solve for x
   x = 12,722,151.41/1,653.75
6. Step 6: Final answer
   x = 7,692.91