Finding the Third Proportional to 37,100.25 and 82,203.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,100.25 : 82,203.75 = 82,203.75 : x
2. Step 2: Convert to fraction form
   37,100.25/82,203.75 = 82,203.75/x
3. Step 3: Cross multiply
   37,100.25x = 82,203.75 × 82,203.75
4. Step 4: Simplify right side
   37,100.25x = 6,757,456,514.06
5. Step 5: Solve for x
   x = 6,757,456,514.06/37,100.25
6. Step 6: Final answer
   x = 182,140.46