Finding the Third Proportional to 14.90 and 31.72

Step by Step Solution

1. Step 1: Write the proportion equation
   14.90 : 31.72 = 31.72 : x
2. Step 2: Convert to fraction form
   14.90/31.72 = 31.72/x
3. Step 3: Cross multiply
   14.90x = 31.72 × 31.72
4. Step 4: Simplify right side
   14.90x = 1,006.36
5. Step 5: Solve for x
   x = 1,006.36/14.90
6. Step 6: Final answer
   x = 67.55