Finding the Third Proportional to 561.75 and 612.38

Step by Step Solution

1. Step 1: Write the proportion equation
   561.75 : 612.38 = 612.38 : x
2. Step 2: Convert to fraction form
   561.75/612.38 = 612.38/x
3. Step 3: Cross multiply
   561.75x = 612.38 × 612.38
4. Step 4: Simplify right side
   561.75x = 375,003.14
5. Step 5: Solve for x
   x = 375,003.14/561.75
6. Step 6: Final answer
   x = 667.56