Finding the Third Proportional to 32,026 and 51,458

Step by Step Solution

1. Step 1: Write the proportion equation
   32,026 : 51,458 = 51,458 : x
2. Step 2: Convert to fraction form
   32,026/51,458 = 51,458/x
3. Step 3: Cross multiply
   32,026x = 51,458 × 51,458
4. Step 4: Simplify right side
   32,026x = 2,647,925,764
5. Step 5: Solve for x
   x = 2,647,925,764/32,026
6. Step 6: Final answer
   x = 82,680.50