Finding the Third Proportional to 37,819.26 and 82,292.22

Step by Step Solution

1. Step 1: Write the proportion equation
   37,819.26 : 82,292.22 = 82,292.22 : x
2. Step 2: Convert to fraction form
   37,819.26/82,292.22 = 82,292.22/x
3. Step 3: Cross multiply
   37,819.26x = 82,292.22 × 82,292.22
4. Step 4: Simplify right side
   37,819.26x = 6,772,008,729.37
5. Step 5: Solve for x
   x = 6,772,008,729.37/37,819.26
6. Step 6: Final answer
   x = 179,062.45