Finding the Third Proportional to 1,101.66 and 2,294.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.66 : 2,294.16 = 2,294.16 : x
2. Step 2: Convert to fraction form
   1,101.66/2,294.16 = 2,294.16/x
3. Step 3: Cross multiply
   1,101.66x = 2,294.16 × 2,294.16
4. Step 4: Simplify right side
   1,101.66x = 5,263,152.90
5. Step 5: Solve for x
   x = 5,263,152.90/1,101.66
6. Step 6: Final answer
   x = 4,777.49