Finding the Third Proportional to 36,951.19 and 82,513.69

Step by Step Solution

1. Step 1: Write the proportion equation
   36,951.19 : 82,513.69 = 82,513.69 : x
2. Step 2: Convert to fraction form
   36,951.19/82,513.69 = 82,513.69/x
3. Step 3: Cross multiply
   36,951.19x = 82,513.69 × 82,513.69
4. Step 4: Simplify right side
   36,951.19x = 6,808,508,624.85
5. Step 5: Solve for x
   x = 6,808,508,624.85/36,951.19
6. Step 6: Final answer
   x = 184,256.83