Finding the Third Proportional to 15.78 and 32.79

Step by Step Solution

1. Step 1: Write the proportion equation
   15.78 : 32.79 = 32.79 : x
2. Step 2: Convert to fraction form
   15.78/32.79 = 32.79/x
3. Step 3: Cross multiply
   15.78x = 32.79 × 32.79
4. Step 4: Simplify right side
   15.78x = 1,075.03
5. Step 5: Solve for x
   x = 1,075.03/15.78
6. Step 6: Final answer
   x = 68.12