Finding the Third Proportional to 21.69 and 47.69

Step by Step Solution

1. Step 1: Write the proportion equation
   21.69 : 47.69 = 47.69 : x
2. Step 2: Convert to fraction form
   21.69/47.69 = 47.69/x
3. Step 3: Cross multiply
   21.69x = 47.69 × 47.69
4. Step 4: Simplify right side
   21.69x = 2,274.10
5. Step 5: Solve for x
   x = 2,274.10/21.69
6. Step 6: Final answer
   x = 104.86