Finding the Third Proportional to 137.53 and 206.72

Step by Step Solution

1. Step 1: Write the proportion equation
   137.53 : 206.72 = 206.72 : x
2. Step 2: Convert to fraction form
   137.53/206.72 = 206.72/x
3. Step 3: Cross multiply
   137.53x = 206.72 × 206.72
4. Step 4: Simplify right side
   137.53x = 42,732.64
5. Step 5: Solve for x
   x = 42,732.64/137.53
6. Step 6: Final answer
   x = 310.71