Finding the Third Proportional to 466.59 and 683.72

Step by Step Solution

1. Step 1: Write the proportion equation
   466.59 : 683.72 = 683.72 : x
2. Step 2: Convert to fraction form
   466.59/683.72 = 683.72/x
3. Step 3: Cross multiply
   466.59x = 683.72 × 683.72
4. Step 4: Simplify right side
   466.59x = 467,471.33
5. Step 5: Solve for x
   x = 467,471.33/466.59
6. Step 6: Final answer
   x = 1,001.88