Finding the Third Proportional to 1,188.42 and 2,314.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.42 : 2,314.97 = 2,314.97 : x
2. Step 2: Convert to fraction form
   1,188.42/2,314.97 = 2,314.97/x
3. Step 3: Cross multiply
   1,188.42x = 2,314.97 × 2,314.97
4. Step 4: Simplify right side
   1,188.42x = 5,359,080.31
5. Step 5: Solve for x
   x = 5,359,080.31/1,188.42
6. Step 6: Final answer
   x = 4,509.41