Finding the Third Proportional to 37,784.25 and 82,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784.25 : 82,750.50 = 82,750.50 : x
2. Step 2: Convert to fraction form
   37,784.25/82,750.50 = 82,750.50/x
3. Step 3: Cross multiply
   37,784.25x = 82,750.50 × 82,750.50
4. Step 4: Simplify right side
   37,784.25x = 6,847,645,250.25
5. Step 5: Solve for x
   x = 6,847,645,250.25/37,784.25
6. Step 6: Final answer
   x = 181,230.15