Finding the Third Proportional to 51,404 and 82,026

Step by Step Solution

1. Step 1: Write the proportion equation
   51,404 : 82,026 = 82,026 : x
2. Step 2: Convert to fraction form
   51,404/82,026 = 82,026/x
3. Step 3: Cross multiply
   51,404x = 82,026 × 82,026
4. Step 4: Simplify right side
   51,404x = 6,728,264,676
5. Step 5: Solve for x
   x = 6,728,264,676/51,404
6. Step 6: Final answer
   x = 130,889.90