Finding the Third Proportional to 29.63 and 67.31

Step by Step Solution

1. Step 1: Write the proportion equation
   29.63 : 67.31 = 67.31 : x
2. Step 2: Convert to fraction form
   29.63/67.31 = 67.31/x
3. Step 3: Cross multiply
   29.63x = 67.31 × 67.31
4. Step 4: Simplify right side
   29.63x = 4,530.97
5. Step 5: Solve for x
   x = 4,530.97/29.63
6. Step 6: Final answer
   x = 152.94