Finding the Third Proportional to 36.50 and 74.88

Step by Step Solution

1. Step 1: Write the proportion equation
   36.50 : 74.88 = 74.88 : x
2. Step 2: Convert to fraction form
   36.50/74.88 = 74.88/x
3. Step 3: Cross multiply
   36.50x = 74.88 × 74.88
4. Step 4: Simplify right side
   36.50x = 5,606.27
5. Step 5: Solve for x
   x = 5,606.27/36.50
6. Step 6: Final answer
   x = 153.60