Finding the Third Proportional to 37.83 and 82.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37.83 : 82.88 = 82.88 : x
2. Step 2: Convert to fraction form
   37.83/82.88 = 82.88/x
3. Step 3: Cross multiply
   37.83x = 82.88 × 82.88
4. Step 4: Simplify right side
   37.83x = 6,869.24
5. Step 5: Solve for x
   x = 6,869.24/37.83
6. Step 6: Final answer
   x = 181.59