Finding the Third Proportional to 1,096.35 and 1,742.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.35 : 1,742.77 = 1,742.77 : x
2. Step 2: Convert to fraction form
   1,096.35/1,742.77 = 1,742.77/x
3. Step 3: Cross multiply
   1,096.35x = 1,742.77 × 1,742.77
4. Step 4: Simplify right side
   1,096.35x = 3,037,232.02
5. Step 5: Solve for x
   x = 3,037,232.02/1,096.35
6. Step 6: Final answer
   x = 2,770.32