Finding the Third Proportional to 34,430 and 51,004

Step by Step Solution

1. Step 1: Write the proportion equation
   34,430 : 51,004 = 51,004 : x
2. Step 2: Convert to fraction form
   34,430/51,004 = 51,004/x
3. Step 3: Cross multiply
   34,430x = 51,004 × 51,004
4. Step 4: Simplify right side
   34,430x = 2,601,408,016
5. Step 5: Solve for x
   x = 2,601,408,016/34,430
6. Step 6: Final answer
   x = 75,556.43