Finding the Third Proportional to 16.88 and 45.69

Step by Step Solution

1. Step 1: Write the proportion equation
   16.88 : 45.69 = 45.69 : x
2. Step 2: Convert to fraction form
   16.88/45.69 = 45.69/x
3. Step 3: Cross multiply
   16.88x = 45.69 × 45.69
4. Step 4: Simplify right side
   16.88x = 2,087.35
5. Step 5: Solve for x
   x = 2,087.35/16.88
6. Step 6: Final answer
   x = 123.69