Finding the Third Proportional to 37,791.56 and 82,491.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,791.56 : 82,491.75 = 82,491.75 : x
2. Step 2: Convert to fraction form
   37,791.56/82,491.75 = 82,491.75/x
3. Step 3: Cross multiply
   37,791.56x = 82,491.75 × 82,491.75
4. Step 4: Simplify right side
   37,791.56x = 6,804,888,818.06
5. Step 5: Solve for x
   x = 6,804,888,818.06/37,791.56
6. Step 6: Final answer
   x = 180,063.71