Finding the Third Proportional to 33,698 and 51,570

Step by Step Solution

1. Step 1: Write the proportion equation
   33,698 : 51,570 = 51,570 : x
2. Step 2: Convert to fraction form
   33,698/51,570 = 51,570/x
3. Step 3: Cross multiply
   33,698x = 51,570 × 51,570
4. Step 4: Simplify right side
   33,698x = 2,659,464,900
5. Step 5: Solve for x
   x = 2,659,464,900/33,698
6. Step 6: Final answer
   x = 78,920.56