Finding the Third Proportional to 1,188.42 and 2,776.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.42 : 2,776.78 = 2,776.78 : x
2. Step 2: Convert to fraction form
   1,188.42/2,776.78 = 2,776.78/x
3. Step 3: Cross multiply
   1,188.42x = 2,776.78 × 2,776.78
4. Step 4: Simplify right side
   1,188.42x = 7,710,514.11
5. Step 5: Solve for x
   x = 7,710,514.11/1,188.42
6. Step 6: Final answer
   x = 6,488.03