Finding the Third Proportional to 34,316 and 51,836

Step by Step Solution

1. Step 1: Write the proportion equation
   34,316 : 51,836 = 51,836 : x
2. Step 2: Convert to fraction form
   34,316/51,836 = 51,836/x
3. Step 3: Cross multiply
   34,316x = 51,836 × 51,836
4. Step 4: Simplify right side
   34,316x = 2,686,970,896
5. Step 5: Solve for x
   x = 2,686,970,896/34,316
6. Step 6: Final answer
   x = 78,300.82