Finding the Third Proportional to 38,640.75 and 82,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,640.75 : 82,384.50 = 82,384.50 : x
2. Step 2: Convert to fraction form
   38,640.75/82,384.50 = 82,384.50/x
3. Step 3: Cross multiply
   38,640.75x = 82,384.50 × 82,384.50
4. Step 4: Simplify right side
   38,640.75x = 6,787,205,840.25
5. Step 5: Solve for x
   x = 6,787,205,840.25/38,640.75
6. Step 6: Final answer
   x = 175,648.92