Finding the Third Proportional to 33.50 and 37.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33.50 : 37.06 = 37.06 : x
2. Step 2: Convert to fraction form
   33.50/37.06 = 37.06/x
3. Step 3: Cross multiply
   33.50x = 37.06 × 37.06
4. Step 4: Simplify right side
   33.50x = 1,373.63
5. Step 5: Solve for x
   x = 1,373.63/33.50
6. Step 6: Final answer
   x = 41.00