Finding the Third Proportional to 2,643.47 and 3,696.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.47 : 3,696.05 = 3,696.05 : x
2. Step 2: Convert to fraction form
   2,643.47/3,696.05 = 3,696.05/x
3. Step 3: Cross multiply
   2,643.47x = 3,696.05 × 3,696.05
4. Step 4: Simplify right side
   2,643.47x = 13,660,762.50
5. Step 5: Solve for x
   x = 13,660,762.50/2,643.47
6. Step 6: Final answer
   x = 5,167.74