Finding the Third Proportional to 38.06 and 78.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38.06 : 78.56 = 78.56 : x
2. Step 2: Convert to fraction form
   38.06/78.56 = 78.56/x
3. Step 3: Cross multiply
   38.06x = 78.56 × 78.56
4. Step 4: Simplify right side
   38.06x = 6,172.07
5. Step 5: Solve for x
   x = 6,172.07/38.06
6. Step 6: Final answer
   x = 162.16