Finding the Third Proportional to 684.38 and 1,053.38

Step by Step Solution

1. Step 1: Write the proportion equation
   684.38 : 1,053.38 = 1,053.38 : x
2. Step 2: Convert to fraction form
   684.38/1,053.38 = 1,053.38/x
3. Step 3: Cross multiply
   684.38x = 1,053.38 × 1,053.38
4. Step 4: Simplify right side
   684.38x = 1,109,598.89
5. Step 5: Solve for x
   x = 1,109,598.89/684.38
6. Step 6: Final answer
   x = 1,621.33