Finding the Third Proportional to 1,114.17 and 2,427.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.17 : 2,427.05 = 2,427.05 : x
2. Step 2: Convert to fraction form
   1,114.17/2,427.05 = 2,427.05/x
3. Step 3: Cross multiply
   1,114.17x = 2,427.05 × 2,427.05
4. Step 4: Simplify right side
   1,114.17x = 5,890,556.53
5. Step 5: Solve for x
   x = 5,890,556.53/1,114.17
6. Step 6: Final answer
   x = 5,286.94