Finding the Third Proportional to 1,560.38 and 3,612.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,560.38 : 3,612.94 = 3,612.94 : x
2. Step 2: Convert to fraction form
   1,560.38/3,612.94 = 3,612.94/x
3. Step 3: Cross multiply
   1,560.38x = 3,612.94 × 3,612.94
4. Step 4: Simplify right side
   1,560.38x = 13,053,317.38
5. Step 5: Solve for x
   x = 13,053,317.38/1,560.38
6. Step 6: Final answer
   x = 8,365.50