Finding the Third Proportional to 59.31 and 127.81

Step by Step Solution

1. Step 1: Write the proportion equation
   59.31 : 127.81 = 127.81 : x
2. Step 2: Convert to fraction form
   59.31/127.81 = 127.81/x
3. Step 3: Cross multiply
   59.31x = 127.81 × 127.81
4. Step 4: Simplify right side
   59.31x = 16,336.04
5. Step 5: Solve for x
   x = 16,336.04/59.31
6. Step 6: Final answer
   x = 275.42