Finding the Third Proportional to 37,790.50 and 82,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,790.50 : 82,384.50 = 82,384.50 : x
2. Step 2: Convert to fraction form
   37,790.50/82,384.50 = 82,384.50/x
3. Step 3: Cross multiply
   37,790.50x = 82,384.50 × 82,384.50
4. Step 4: Simplify right side
   37,790.50x = 6,787,205,840.25
5. Step 5: Solve for x
   x = 6,787,205,840.25/37,790.50
6. Step 6: Final answer
   x = 179,600.85