Finding the Third Proportional to 1,135.27 and 1,697.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,135.27 : 1,697.20 = 1,697.20 : x
2. Step 2: Convert to fraction form
   1,135.27/1,697.20 = 1,697.20/x
3. Step 3: Cross multiply
   1,135.27x = 1,697.20 × 1,697.20
4. Step 4: Simplify right side
   1,135.27x = 2,880,498.45
5. Step 5: Solve for x
   x = 2,880,498.45/1,135.27
6. Step 6: Final answer
   x = 2,537.29