Finding the Third Proportional to 37,896.94 and 82,521.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,896.94 : 82,521.56 = 82,521.56 : x
2. Step 2: Convert to fraction form
   37,896.94/82,521.56 = 82,521.56/x
3. Step 3: Cross multiply
   37,896.94x = 82,521.56 × 82,521.56
4. Step 4: Simplify right side
   37,896.94x = 6,809,808,277.44
5. Step 5: Solve for x
   x = 6,809,808,277.44/37,896.94
6. Step 6: Final answer
   x = 179,692.84