Finding the Third Proportional to 19.88 and 53.69

Step by Step Solution

1. Step 1: Write the proportion equation
   19.88 : 53.69 = 53.69 : x
2. Step 2: Convert to fraction form
   19.88/53.69 = 53.69/x
3. Step 3: Cross multiply
   19.88x = 53.69 × 53.69
4. Step 4: Simplify right side
   19.88x = 2,882.35
5. Step 5: Solve for x
   x = 2,882.35/19.88
6. Step 6: Final answer
   x = 145.02