Finding the Third Proportional to 1,187.00 and 1,773.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.00 : 1,773.85 = 1,773.85 : x
2. Step 2: Convert to fraction form
   1,187.00/1,773.85 = 1,773.85/x
3. Step 3: Cross multiply
   1,187.00x = 1,773.85 × 1,773.85
4. Step 4: Simplify right side
   1,187.00x = 3,146,552.83
5. Step 5: Solve for x
   x = 3,146,552.83/1,187.00
6. Step 6: Final answer
   x = 2,650.85