Finding the Third Proportional to 1,560.94 and 3,678.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,560.94 : 3,678.75 = 3,678.75 : x
2. Step 2: Convert to fraction form
   1,560.94/3,678.75 = 3,678.75/x
3. Step 3: Cross multiply
   1,560.94x = 3,678.75 × 3,678.75
4. Step 4: Simplify right side
   1,560.94x = 13,533,201.56
5. Step 5: Solve for x
   x = 13,533,201.56/1,560.94
6. Step 6: Final answer
   x = 8,669.92