Finding the Third Proportional to 2,300.06 and 3,643.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,300.06 : 3,643.69 = 3,643.69 : x
2. Step 2: Convert to fraction form
   2,300.06/3,643.69 = 3,643.69/x
3. Step 3: Cross multiply
   2,300.06x = 3,643.69 × 3,643.69
4. Step 4: Simplify right side
   2,300.06x = 13,276,458.60
5. Step 5: Solve for x
   x = 13,276,458.60/2,300.06
6. Step 6: Final answer
   x = 5,772.22