Finding the Third Proportional to 17.84 and 38.52

Step by Step Solution

1. Step 1: Write the proportion equation
   17.84 : 38.52 = 38.52 : x
2. Step 2: Convert to fraction form
   17.84/38.52 = 38.52/x
3. Step 3: Cross multiply
   17.84x = 38.52 × 38.52
4. Step 4: Simplify right side
   17.84x = 1,483.98
5. Step 5: Solve for x
   x = 1,483.98/17.84
6. Step 6: Final answer
   x = 83.19