Finding the Third Proportional to 1,188.18 and 2,775.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.18 : 2,775.75 = 2,775.75 : x
2. Step 2: Convert to fraction form
   1,188.18/2,775.75 = 2,775.75/x
3. Step 3: Cross multiply
   1,188.18x = 2,775.75 × 2,775.75
4. Step 4: Simplify right side
   1,188.18x = 7,704,804.33
5. Step 5: Solve for x
   x = 7,704,804.33/1,188.18
6. Step 6: Final answer
   x = 6,484.52