Finding the Third Proportional to 1,185.73 and 1,772.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.73 : 1,772.03 = 1,772.03 : x
2. Step 2: Convert to fraction form
   1,185.73/1,772.03 = 1,772.03/x
3. Step 3: Cross multiply
   1,185.73x = 1,772.03 × 1,772.03
4. Step 4: Simplify right side
   1,185.73x = 3,140,101.67
5. Step 5: Solve for x
   x = 3,140,101.67/1,185.73
6. Step 6: Final answer
   x = 2,648.24