Finding the Third Proportional to 1,142.44 and 2,462.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.44 : 2,462.06 = 2,462.06 : x
2. Step 2: Convert to fraction form
   1,142.44/2,462.06 = 2,462.06/x
3. Step 3: Cross multiply
   1,142.44x = 2,462.06 × 2,462.06
4. Step 4: Simplify right side
   1,142.44x = 6,061,751.75
5. Step 5: Solve for x
   x = 6,061,751.75/1,142.44
6. Step 6: Final answer
   x = 5,305.98