Finding the Third Proportional to 1,277.02 and 1,733.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.02 : 1,733.27 = 1,733.27 : x
2. Step 2: Convert to fraction form
   1,277.02/1,733.27 = 1,733.27/x
3. Step 3: Cross multiply
   1,277.02x = 1,733.27 × 1,733.27
4. Step 4: Simplify right side
   1,277.02x = 3,004,236.81
5. Step 5: Solve for x
   x = 3,004,236.81/1,277.02
6. Step 6: Final answer
   x = 2,352.55