Finding the Third Proportional to 27.56 and 58.31

Step by Step Solution

1. Step 1: Write the proportion equation
   27.56 : 58.31 = 58.31 : x
2. Step 2: Convert to fraction form
   27.56/58.31 = 58.31/x
3. Step 3: Cross multiply
   27.56x = 58.31 × 58.31
4. Step 4: Simplify right side
   27.56x = 3,400.35
5. Step 5: Solve for x
   x = 3,400.35/27.56
6. Step 6: Final answer
   x = 123.37