Finding the Third Proportional to 37.50 and 82.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 82.94 = 82.94 : x
2. Step 2: Convert to fraction form
   37.50/82.94 = 82.94/x
3. Step 3: Cross multiply
   37.50x = 82.94 × 82.94
4. Step 4: Simplify right side
   37.50x = 6,878.63
5. Step 5: Solve for x
   x = 6,878.63/37.50
6. Step 6: Final answer
   x = 183.43