Finding the Third Proportional to 14.88 and 35.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14.88 : 35.25 = 35.25 : x
2. Step 2: Convert to fraction form
   14.88/35.25 = 35.25/x
3. Step 3: Cross multiply
   14.88x = 35.25 × 35.25
4. Step 4: Simplify right side
   14.88x = 1,242.56
5. Step 5: Solve for x
   x = 1,242.56/14.88
6. Step 6: Final answer
   x = 83.53