Finding the Third Proportional to 21.56 and 46.78

Step by Step Solution

1. Step 1: Write the proportion equation
   21.56 : 46.78 = 46.78 : x
2. Step 2: Convert to fraction form
   21.56/46.78 = 46.78/x
3. Step 3: Cross multiply
   21.56x = 46.78 × 46.78
4. Step 4: Simplify right side
   21.56x = 2,188.49
5. Step 5: Solve for x
   x = 2,188.49/21.56
6. Step 6: Final answer
   x = 101.49