Finding the Third Proportional to 1,188.56 and 2,334.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.56 : 2,334.94 = 2,334.94 : x
2. Step 2: Convert to fraction form
   1,188.56/2,334.94 = 2,334.94/x
3. Step 3: Cross multiply
   1,188.56x = 2,334.94 × 2,334.94
4. Step 4: Simplify right side
   1,188.56x = 5,451,933.13
5. Step 5: Solve for x
   x = 5,451,933.13/1,188.56
6. Step 6: Final answer
   x = 4,587.00