Finding the Third Proportional to 17.86 and 46.69

Step by Step Solution

1. Step 1: Write the proportion equation
   17.86 : 46.69 = 46.69 : x
2. Step 2: Convert to fraction form
   17.86/46.69 = 46.69/x
3. Step 3: Cross multiply
   17.86x = 46.69 × 46.69
4. Step 4: Simplify right side
   17.86x = 2,179.72
5. Step 5: Solve for x
   x = 2,179.72/17.86
6. Step 6: Final answer
   x = 122.05