Finding the Third Proportional to 427.69 and 653.72

Step by Step Solution

1. Step 1: Write the proportion equation
   427.69 : 653.72 = 653.72 : x
2. Step 2: Convert to fraction form
   427.69/653.72 = 653.72/x
3. Step 3: Cross multiply
   427.69x = 653.72 × 653.72
4. Step 4: Simplify right side
   427.69x = 427,348.20
5. Step 5: Solve for x
   x = 427,348.20/427.69
6. Step 6: Final answer
   x = 999.21