Finding the Third Proportional to 37,139.25 and 80,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,139.25 : 80,196.25 = 80,196.25 : x
2. Step 2: Convert to fraction form
   37,139.25/80,196.25 = 80,196.25/x
3. Step 3: Cross multiply
   37,139.25x = 80,196.25 × 80,196.25
4. Step 4: Simplify right side
   37,139.25x = 6,431,438,514.06
5. Step 5: Solve for x
   x = 6,431,438,514.06/37,139.25
6. Step 6: Final answer
   x = 173,170.93