Finding the Third Proportional to 534.94 and 1,140.56

Step by Step Solution

1. Step 1: Write the proportion equation
   534.94 : 1,140.56 = 1,140.56 : x
2. Step 2: Convert to fraction form
   534.94/1,140.56 = 1,140.56/x
3. Step 3: Cross multiply
   534.94x = 1,140.56 × 1,140.56
4. Step 4: Simplify right side
   534.94x = 1,300,882.82
5. Step 5: Solve for x
   x = 1,300,882.82/534.94
6. Step 6: Final answer
   x = 2,431.84