Finding the Third Proportional to 33,869 and 51,222

Step by Step Solution

1. Step 1: Write the proportion equation
   33,869 : 51,222 = 51,222 : x
2. Step 2: Convert to fraction form
   33,869/51,222 = 51,222/x
3. Step 3: Cross multiply
   33,869x = 51,222 × 51,222
4. Step 4: Simplify right side
   33,869x = 2,623,693,284
5. Step 5: Solve for x
   x = 2,623,693,284/33,869
6. Step 6: Final answer
   x = 77,465.92