Finding the Third Proportional to 1,337.81 and 1,560.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.81 : 1,560.56 = 1,560.56 : x
2. Step 2: Convert to fraction form
   1,337.81/1,560.56 = 1,560.56/x
3. Step 3: Cross multiply
   1,337.81x = 1,560.56 × 1,560.56
4. Step 4: Simplify right side
   1,337.81x = 2,435,355.32
5. Step 5: Solve for x
   x = 2,435,355.32/1,337.81
6. Step 6: Final answer
   x = 1,820.40