Finding the Third Proportional to 1,764.56 and 3,696.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,764.56 : 3,696.19 = 3,696.19 : x
2. Step 2: Convert to fraction form
   1,764.56/3,696.19 = 3,696.19/x
3. Step 3: Cross multiply
   1,764.56x = 3,696.19 × 3,696.19
4. Step 4: Simplify right side
   1,764.56x = 13,661,802.04
5. Step 5: Solve for x
   x = 13,661,802.04/1,764.56
6. Step 6: Final answer
   x = 7,742.32