Finding the Third Proportional to 33,461 and 51,789

Step by Step Solution

1. Step 1: Write the proportion equation
   33,461 : 51,789 = 51,789 : x
2. Step 2: Convert to fraction form
   33,461/51,789 = 51,789/x
3. Step 3: Cross multiply
   33,461x = 51,789 × 51,789
4. Step 4: Simplify right side
   33,461x = 2,682,100,521
5. Step 5: Solve for x
   x = 2,682,100,521/33,461
6. Step 6: Final answer
   x = 80,156.02