Finding the Third Proportional to 71.25 and 137.63

Step by Step Solution

1. Step 1: Write the proportion equation
   71.25 : 137.63 = 137.63 : x
2. Step 2: Convert to fraction form
   71.25/137.63 = 137.63/x
3. Step 3: Cross multiply
   71.25x = 137.63 × 137.63
4. Step 4: Simplify right side
   71.25x = 18,940.64
5. Step 5: Solve for x
   x = 18,940.64/71.25
6. Step 6: Final answer
   x = 265.83