Finding the Third Proportional to 37,801.69 and 82,339.03

Step by Step Solution

1. Step 1: Write the proportion equation
   37,801.69 : 82,339.03 = 82,339.03 : x
2. Step 2: Convert to fraction form
   37,801.69/82,339.03 = 82,339.03/x
3. Step 3: Cross multiply
   37,801.69x = 82,339.03 × 82,339.03
4. Step 4: Simplify right side
   37,801.69x = 6,779,716,067.19
5. Step 5: Solve for x
   x = 6,779,716,067.19/37,801.69
6. Step 6: Final answer
   x = 179,349.56