Finding the Third Proportional to 37,920.50 and 82,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,920.50 : 82,529.50 = 82,529.50 : x
2. Step 2: Convert to fraction form
   37,920.50/82,529.50 = 82,529.50/x
3. Step 3: Cross multiply
   37,920.50x = 82,529.50 × 82,529.50
4. Step 4: Simplify right side
   37,920.50x = 6,811,118,370.25
5. Step 5: Solve for x
   x = 6,811,118,370.25/37,920.50
6. Step 6: Final answer
   x = 179,615.73