Finding the Third Proportional to 32.44 and 69.31

Step by Step Solution

1. Step 1: Write the proportion equation
   32.44 : 69.31 = 69.31 : x
2. Step 2: Convert to fraction form
   32.44/69.31 = 69.31/x
3. Step 3: Cross multiply
   32.44x = 69.31 × 69.31
4. Step 4: Simplify right side
   32.44x = 4,804.22
5. Step 5: Solve for x
   x = 4,804.22/32.44
6. Step 6: Final answer
   x = 148.11