Finding the Third Proportional to 78.75 and 103.59

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 103.59 = 103.59 : x
2. Step 2: Convert to fraction form
   78.75/103.59 = 103.59/x
3. Step 3: Cross multiply
   78.75x = 103.59 × 103.59
4. Step 4: Simplify right side
   78.75x = 10,731.67
5. Step 5: Solve for x
   x = 10,731.67/78.75
6. Step 6: Final answer
   x = 136.28