Finding the Third Proportional to 34,682 and 53,584

Step by Step Solution

1. Step 1: Write the proportion equation
   34,682 : 53,584 = 53,584 : x
2. Step 2: Convert to fraction form
   34,682/53,584 = 53,584/x
3. Step 3: Cross multiply
   34,682x = 53,584 × 53,584
4. Step 4: Simplify right side
   34,682x = 2,871,245,056
5. Step 5: Solve for x
   x = 2,871,245,056/34,682
6. Step 6: Final answer
   x = 82,787.76