Finding the Third Proportional to 743.63 and 1,045.69

Step by Step Solution

1. Step 1: Write the proportion equation
   743.63 : 1,045.69 = 1,045.69 : x
2. Step 2: Convert to fraction form
   743.63/1,045.69 = 1,045.69/x
3. Step 3: Cross multiply
   743.63x = 1,045.69 × 1,045.69
4. Step 4: Simplify right side
   743.63x = 1,093,462.35
5. Step 5: Solve for x
   x = 1,093,462.35/743.63
6. Step 6: Final answer
   x = 1,470.45