Finding the Third Proportional to 32,886 and 51,345

Step by Step Solution

1. Step 1: Write the proportion equation
   32,886 : 51,345 = 51,345 : x
2. Step 2: Convert to fraction form
   32,886/51,345 = 51,345/x
3. Step 3: Cross multiply
   32,886x = 51,345 × 51,345
4. Step 4: Simplify right side
   32,886x = 2,636,309,025
5. Step 5: Solve for x
   x = 2,636,309,025/32,886
6. Step 6: Final answer
   x = 80,165.09