Finding the Third Proportional to 59.06 and 78.19

Step by Step Solution

1. Step 1: Write the proportion equation
   59.06 : 78.19 = 78.19 : x
2. Step 2: Convert to fraction form
   59.06/78.19 = 78.19/x
3. Step 3: Cross multiply
   59.06x = 78.19 × 78.19
4. Step 4: Simplify right side
   59.06x = 6,113.29
5. Step 5: Solve for x
   x = 6,113.29/59.06
6. Step 6: Final answer
   x = 103.51