Finding the Third Proportional to 1,778.63 and 3,690.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.63 : 3,690.56 = 3,690.56 : x
2. Step 2: Convert to fraction form
   1,778.63/3,690.56 = 3,690.56/x
3. Step 3: Cross multiply
   1,778.63x = 3,690.56 × 3,690.56
4. Step 4: Simplify right side
   1,778.63x = 13,620,251.57
5. Step 5: Solve for x
   x = 13,620,251.57/1,778.63
6. Step 6: Final answer
   x = 7,657.74