Finding the Third Proportional to 1,081.37 and 1,381.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081.37 : 1,381.78 = 1,381.78 : x
2. Step 2: Convert to fraction form
   1,081.37/1,381.78 = 1,381.78/x
3. Step 3: Cross multiply
   1,081.37x = 1,381.78 × 1,381.78
4. Step 4: Simplify right side
   1,081.37x = 1,909,319.42
5. Step 5: Solve for x
   x = 1,909,319.42/1,081.37
6. Step 6: Final answer
   x = 1,765.65