Finding the Third Proportional to 33,579 and 51,345

Step by Step Solution

1. Step 1: Write the proportion equation
   33,579 : 51,345 = 51,345 : x
2. Step 2: Convert to fraction form
   33,579/51,345 = 51,345/x
3. Step 3: Cross multiply
   33,579x = 51,345 × 51,345
4. Step 4: Simplify right side
   33,579x = 2,636,309,025
5. Step 5: Solve for x
   x = 2,636,309,025/33,579
6. Step 6: Final answer
   x = 78,510.65