Finding the Third Proportional to 34,072 and 52,824

Step by Step Solution

1. Step 1: Write the proportion equation
   34,072 : 52,824 = 52,824 : x
2. Step 2: Convert to fraction form
   34,072/52,824 = 52,824/x
3. Step 3: Cross multiply
   34,072x = 52,824 × 52,824
4. Step 4: Simplify right side
   34,072x = 2,790,374,976
5. Step 5: Solve for x
   x = 2,790,374,976/34,072
6. Step 6: Final answer
   x = 81,896.42