Finding the Third Proportional to 22.86 and 35.56

Step by Step Solution

1. Step 1: Write the proportion equation
   22.86 : 35.56 = 35.56 : x
2. Step 2: Convert to fraction form
   22.86/35.56 = 35.56/x
3. Step 3: Cross multiply
   22.86x = 35.56 × 35.56
4. Step 4: Simplify right side
   22.86x = 1,264.24
5. Step 5: Solve for x
   x = 1,264.24/22.86
6. Step 6: Final answer
   x = 55.30