Finding the Third Proportional to 19.69 and 37.55

Step by Step Solution

1. Step 1: Write the proportion equation
   19.69 : 37.55 = 37.55 : x
2. Step 2: Convert to fraction form
   19.69/37.55 = 37.55/x
3. Step 3: Cross multiply
   19.69x = 37.55 × 37.55
4. Step 4: Simplify right side
   19.69x = 1,409.77
5. Step 5: Solve for x
   x = 1,409.77/19.69
6. Step 6: Final answer
   x = 71.61