Finding the Third Proportional to 34,756 and 53,582

Step by Step Solution

1. Step 1: Write the proportion equation
   34,756 : 53,582 = 53,582 : x
2. Step 2: Convert to fraction form
   34,756/53,582 = 53,582/x
3. Step 3: Cross multiply
   34,756x = 53,582 × 53,582
4. Step 4: Simplify right side
   34,756x = 2,871,030,724
5. Step 5: Solve for x
   x = 2,871,030,724/34,756
6. Step 6: Final answer
   x = 82,605.33