Finding the Third Proportional to 33,476 and 51,865

Step by Step Solution

1. Step 1: Write the proportion equation
   33,476 : 51,865 = 51,865 : x
2. Step 2: Convert to fraction form
   33,476/51,865 = 51,865/x
3. Step 3: Cross multiply
   33,476x = 51,865 × 51,865
4. Step 4: Simplify right side
   33,476x = 2,689,978,225
5. Step 5: Solve for x
   x = 2,689,978,225/33,476
6. Step 6: Final answer
   x = 80,355.43