Finding the Third Proportional to 693.38 and 1,029.69

Step by Step Solution

1. Step 1: Write the proportion equation
   693.38 : 1,029.69 = 1,029.69 : x
2. Step 2: Convert to fraction form
   693.38/1,029.69 = 1,029.69/x
3. Step 3: Cross multiply
   693.38x = 1,029.69 × 1,029.69
4. Step 4: Simplify right side
   693.38x = 1,060,256.35
5. Step 5: Solve for x
   x = 1,060,256.35/693.38
6. Step 6: Final answer
   x = 1,529.12