Finding the Third Proportional to 72.56 and 106.03

Step by Step Solution

1. Step 1: Write the proportion equation
   72.56 : 106.03 = 106.03 : x
2. Step 2: Convert to fraction form
   72.56/106.03 = 106.03/x
3. Step 3: Cross multiply
   72.56x = 106.03 × 106.03
4. Step 4: Simplify right side
   72.56x = 11,242.63
5. Step 5: Solve for x
   x = 11,242.63/72.56
6. Step 6: Final answer
   x = 154.94