Finding the Third Proportional to 4.78 and 10.03

Step by Step Solution

1. Step 1: Write the proportion equation
   4.78 : 10.03 = 10.03 : x
2. Step 2: Convert to fraction form
   4.78/10.03 = 10.03/x
3. Step 3: Cross multiply
   4.78x = 10.03 × 10.03
4. Step 4: Simplify right side
   4.78x = 100.63
5. Step 5: Solve for x
   x = 100.63/4.78
6. Step 6: Final answer
   x = 21.05