Finding the Third Proportional to 1,046.25 and 1,535.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.25 : 1,535.63 = 1,535.63 : x
2. Step 2: Convert to fraction form
   1,046.25/1,535.63 = 1,535.63/x
3. Step 3: Cross multiply
   1,046.25x = 1,535.63 × 1,535.63
4. Step 4: Simplify right side
   1,046.25x = 2,358,144.14
5. Step 5: Solve for x
   x = 2,358,144.14/1,046.25
6. Step 6: Final answer
   x = 2,253.90