Finding the Third Proportional to 37,725.75 and 82,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,725.75 : 82,363.50 = 82,363.50 : x
2. Step 2: Convert to fraction form
   37,725.75/82,363.50 = 82,363.50/x
3. Step 3: Cross multiply
   37,725.75x = 82,363.50 × 82,363.50
4. Step 4: Simplify right side
   37,725.75x = 6,783,746,132.25
5. Step 5: Solve for x
   x = 6,783,746,132.25/37,725.75
6. Step 6: Final answer
   x = 179,817.40