Finding the Third Proportional to 48.75 and 89.88

Step by Step Solution

1. Step 1: Write the proportion equation
   48.75 : 89.88 = 89.88 : x
2. Step 2: Convert to fraction form
   48.75/89.88 = 89.88/x
3. Step 3: Cross multiply
   48.75x = 89.88 × 89.88
4. Step 4: Simplify right side
   48.75x = 8,077.52
5. Step 5: Solve for x
   x = 8,077.52/48.75
6. Step 6: Final answer
   x = 165.69