Finding the Third Proportional to 51,809 and 82,384.31

Step by Step Solution

1. Step 1: Write the proportion equation
   51,809 : 82,384.31 = 82,384.31 : x
2. Step 2: Convert to fraction form
   51,809/82,384.31 = 82,384.31/x
3. Step 3: Cross multiply
   51,809x = 82,384.31 × 82,384.31
4. Step 4: Simplify right side
   51,809x = 6,787,174,946.10
5. Step 5: Solve for x
   x = 6,787,174,946.10/51,809
6. Step 6: Final answer
   x = 131,003.78