Finding the Third Proportional to 1,746.94 and 3,696.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.94 : 3,696.38 = 3,696.38 : x
2. Step 2: Convert to fraction form
   1,746.94/3,696.38 = 3,696.38/x
3. Step 3: Cross multiply
   1,746.94x = 3,696.38 × 3,696.38
4. Step 4: Simplify right side
   1,746.94x = 13,663,188.14
5. Step 5: Solve for x
   x = 13,663,188.14/1,746.94
6. Step 6: Final answer
   x = 7,821.22