Finding the Third Proportional to 34,872 and 53,616

Step by Step Solution

1. Step 1: Write the proportion equation
   34,872 : 53,616 = 53,616 : x
2. Step 2: Convert to fraction form
   34,872/53,616 = 53,616/x
3. Step 3: Cross multiply
   34,872x = 53,616 × 53,616
4. Step 4: Simplify right side
   34,872x = 2,874,675,456
5. Step 5: Solve for x
   x = 2,874,675,456/34,872
6. Step 6: Final answer
   x = 82,435.06