Finding the Third Proportional to 39,624.19 and 82,523.81

Step by Step Solution

1. Step 1: Write the proportion equation
   39,624.19 : 82,523.81 = 82,523.81 : x
2. Step 2: Convert to fraction form
   39,624.19/82,523.81 = 82,523.81/x
3. Step 3: Cross multiply
   39,624.19x = 82,523.81 × 82,523.81
4. Step 4: Simplify right side
   39,624.19x = 6,810,179,629.54
5. Step 5: Solve for x
   x = 6,810,179,629.54/39,624.19
6. Step 6: Final answer
   x = 171,869.26