Finding the Third Proportional to 1,560.38 and 3,681.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,560.38 : 3,681.56 = 3,681.56 : x
2. Step 2: Convert to fraction form
   1,560.38/3,681.56 = 3,681.56/x
3. Step 3: Cross multiply
   1,560.38x = 3,681.56 × 3,681.56
4. Step 4: Simplify right side
   1,560.38x = 13,553,902.44
5. Step 5: Solve for x
   x = 13,553,902.44/1,560.38
6. Step 6: Final answer
   x = 8,686.31