Finding the Third Proportional to 45.75 and 88.69

Step by Step Solution

1. Step 1: Write the proportion equation
   45.75 : 88.69 = 88.69 : x
2. Step 2: Convert to fraction form
   45.75/88.69 = 88.69/x
3. Step 3: Cross multiply
   45.75x = 88.69 × 88.69
4. Step 4: Simplify right side
   45.75x = 7,865.47
5. Step 5: Solve for x
   x = 7,865.47/45.75
6. Step 6: Final answer
   x = 171.92