Finding the Third Proportional to 21.31 and 46.56

Step by Step Solution

1. Step 1: Write the proportion equation
   21.31 : 46.56 = 46.56 : x
2. Step 2: Convert to fraction form
   21.31/46.56 = 46.56/x
3. Step 3: Cross multiply
   21.31x = 46.56 × 46.56
4. Step 4: Simplify right side
   21.31x = 2,168.07
5. Step 5: Solve for x
   x = 2,168.07/21.31
6. Step 6: Final answer
   x = 101.73