Finding the Third Proportional to 1,775.41 and 3,734.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,775.41 : 3,734.38 = 3,734.38 : x
2. Step 2: Convert to fraction form
   1,775.41/3,734.38 = 3,734.38/x
3. Step 3: Cross multiply
   1,775.41x = 3,734.38 × 3,734.38
4. Step 4: Simplify right side
   1,775.41x = 13,945,629.58
5. Step 5: Solve for x
   x = 13,945,629.58/1,775.41
6. Step 6: Final answer
   x = 7,854.89