Finding the Third Proportional to 32,026 and 51,162

Step by Step Solution

1. Step 1: Write the proportion equation
   32,026 : 51,162 = 51,162 : x
2. Step 2: Convert to fraction form
   32,026/51,162 = 51,162/x
3. Step 3: Cross multiply
   32,026x = 51,162 × 51,162
4. Step 4: Simplify right side
   32,026x = 2,617,550,244
5. Step 5: Solve for x
   x = 2,617,550,244/32,026
6. Step 6: Final answer
   x = 81,732.04