Finding the Third Proportional to 534.75 and 1,105.88

Step by Step Solution

1. Step 1: Write the proportion equation
   534.75 : 1,105.88 = 1,105.88 : x
2. Step 2: Convert to fraction form
   534.75/1,105.88 = 1,105.88/x
3. Step 3: Cross multiply
   534.75x = 1,105.88 × 1,105.88
4. Step 4: Simplify right side
   534.75x = 1,222,959.52
5. Step 5: Solve for x
   x = 1,222,959.52/534.75
6. Step 6: Final answer
   x = 2,286.97