Finding the Third Proportional to 15.75 and 34.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15.75 : 34.50 = 34.50 : x
2. Step 2: Convert to fraction form
   15.75/34.50 = 34.50/x
3. Step 3: Cross multiply
   15.75x = 34.50 × 34.50
4. Step 4: Simplify right side
   15.75x = 1,190.25
5. Step 5: Solve for x
   x = 1,190.25/15.75
6. Step 6: Final answer
   x = 75.57