Finding the Third Proportional to 34,326 and 51,570

Step by Step Solution

1. Step 1: Write the proportion equation
   34,326 : 51,570 = 51,570 : x
2. Step 2: Convert to fraction form
   34,326/51,570 = 51,570/x
3. Step 3: Cross multiply
   34,326x = 51,570 × 51,570
4. Step 4: Simplify right side
   34,326x = 2,659,464,900
5. Step 5: Solve for x
   x = 2,659,464,900/34,326
6. Step 6: Final answer
   x = 77,476.69