Finding the Third Proportional to 33,905 and 51,105

Step by Step Solution

1. Step 1: Write the proportion equation
   33,905 : 51,105 = 51,105 : x
2. Step 2: Convert to fraction form
   33,905/51,105 = 51,105/x
3. Step 3: Cross multiply
   33,905x = 51,105 × 51,105
4. Step 4: Simplify right side
   33,905x = 2,611,721,025
5. Step 5: Solve for x
   x = 2,611,721,025/33,905
6. Step 6: Final answer
   x = 77,030.56