Finding the Third Proportional to 48.09 and 78.89

Step by Step Solution

1. Step 1: Write the proportion equation
   48.09 : 78.89 = 78.89 : x
2. Step 2: Convert to fraction form
   48.09/78.89 = 78.89/x
3. Step 3: Cross multiply
   48.09x = 78.89 × 78.89
4. Step 4: Simplify right side
   48.09x = 6,223.73
5. Step 5: Solve for x
   x = 6,223.73/48.09
6. Step 6: Final answer
   x = 129.41