Finding the Third Proportional to 2,829.09 and 3,696.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,829.09 : 3,696.47 = 3,696.47 : x
2. Step 2: Convert to fraction form
   2,829.09/3,696.47 = 3,696.47/x
3. Step 3: Cross multiply
   2,829.09x = 3,696.47 × 3,696.47
4. Step 4: Simplify right side
   2,829.09x = 13,663,881.22
5. Step 5: Solve for x
   x = 13,663,881.22/2,829.09
6. Step 6: Final answer
   x = 4,829.77