Finding the Third Proportional to 71.63 and 104.38

Step by Step Solution

1. Step 1: Write the proportion equation
   71.63 : 104.38 = 104.38 : x
2. Step 2: Convert to fraction form
   71.63/104.38 = 104.38/x
3. Step 3: Cross multiply
   71.63x = 104.38 × 104.38
4. Step 4: Simplify right side
   71.63x = 10,894.14
5. Step 5: Solve for x
   x = 10,894.14/71.63
6. Step 6: Final answer
   x = 152.10