Finding the Third Proportional to 21.38 and 45.63

Step by Step Solution

1. Step 1: Write the proportion equation
   21.38 : 45.63 = 45.63 : x
2. Step 2: Convert to fraction form
   21.38/45.63 = 45.63/x
3. Step 3: Cross multiply
   21.38x = 45.63 × 45.63
4. Step 4: Simplify right side
   21.38x = 2,081.64
5. Step 5: Solve for x
   x = 2,081.64/21.38
6. Step 6: Final answer
   x = 97.39