Finding the Third Proportional to 71.75 and 153.63

Step by Step Solution

1. Step 1: Write the proportion equation
   71.75 : 153.63 = 153.63 : x
2. Step 2: Convert to fraction form
   71.75/153.63 = 153.63/x
3. Step 3: Cross multiply
   71.75x = 153.63 × 153.63
4. Step 4: Simplify right side
   71.75x = 23,600.64
5. Step 5: Solve for x
   x = 23,600.64/71.75
6. Step 6: Final answer
   x = 328.93