Finding the Third Proportional to 34,673 and 53,570

Step by Step Solution

1. Step 1: Write the proportion equation
   34,673 : 53,570 = 53,570 : x
2. Step 2: Convert to fraction form
   34,673/53,570 = 53,570/x
3. Step 3: Cross multiply
   34,673x = 53,570 × 53,570
4. Step 4: Simplify right side
   34,673x = 2,869,744,900
5. Step 5: Solve for x
   x = 2,869,744,900/34,673
6. Step 6: Final answer
   x = 82,765.98