Finding the Third Proportional to 694.88 and 1,047.38

Step by Step Solution

1. Step 1: Write the proportion equation
   694.88 : 1,047.38 = 1,047.38 : x
2. Step 2: Convert to fraction form
   694.88/1,047.38 = 1,047.38/x
3. Step 3: Cross multiply
   694.88x = 1,047.38 × 1,047.38
4. Step 4: Simplify right side
   694.88x = 1,096,994.39
5. Step 5: Solve for x
   x = 1,096,994.39/694.88
6. Step 6: Final answer
   x = 1,578.69