Finding the Third Proportional to 1,155.30 and 1,777.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.30 : 1,777.57 = 1,777.57 : x
2. Step 2: Convert to fraction form
   1,155.30/1,777.57 = 1,777.57/x
3. Step 3: Cross multiply
   1,155.30x = 1,777.57 × 1,777.57
4. Step 4: Simplify right side
   1,155.30x = 3,159,756.22
5. Step 5: Solve for x
   x = 3,159,756.22/1,155.30
6. Step 6: Final answer
   x = 2,735.00