Finding the Third Proportional to 30.72 and 45.01

Step by Step Solution

1. Step 1: Write the proportion equation
   30.72 : 45.01 = 45.01 : x
2. Step 2: Convert to fraction form
   30.72/45.01 = 45.01/x
3. Step 3: Cross multiply
   30.72x = 45.01 × 45.01
4. Step 4: Simplify right side
   30.72x = 2,025.79
5. Step 5: Solve for x
   x = 2,025.79/30.72
6. Step 6: Final answer
   x = 65.95