Finding the Third Proportional to 37,519.50 and 82,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,519.50 : 82,009.50 = 82,009.50 : x
2. Step 2: Convert to fraction form
   37,519.50/82,009.50 = 82,009.50/x
3. Step 3: Cross multiply
   37,519.50x = 82,009.50 × 82,009.50
4. Step 4: Simplify right side
   37,519.50x = 6,725,558,090.25
5. Step 5: Solve for x
   x = 6,725,558,090.25/37,519.50
6. Step 6: Final answer
   x = 179,255.00