Finding the Third Proportional to 1,748.25 and 3,690.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.25 : 3,690.38 = 3,690.38 : x
2. Step 2: Convert to fraction form
   1,748.25/3,690.38 = 3,690.38/x
3. Step 3: Cross multiply
   1,748.25x = 3,690.38 × 3,690.38
4. Step 4: Simplify right side
   1,748.25x = 13,618,867.64
5. Step 5: Solve for x
   x = 13,618,867.64/1,748.25
6. Step 6: Final answer
   x = 7,790.00