Finding the Third Proportional to 59.80 and 78.31

Step by Step Solution

1. Step 1: Write the proportion equation
   59.80 : 78.31 = 78.31 : x
2. Step 2: Convert to fraction form
   59.80/78.31 = 78.31/x
3. Step 3: Cross multiply
   59.80x = 78.31 × 78.31
4. Step 4: Simplify right side
   59.80x = 6,132.54
5. Step 5: Solve for x
   x = 6,132.54/59.80
6. Step 6: Final answer
   x = 102.55