Finding the Third Proportional to 34,021 and 51,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,021 : 51,067.50 = 51,067.50 : x
2. Step 2: Convert to fraction form
   34,021/51,067.50 = 51,067.50/x
3. Step 3: Cross multiply
   34,021x = 51,067.50 × 51,067.50
4. Step 4: Simplify right side
   34,021x = 2,607,889,556.25
5. Step 5: Solve for x
   x = 2,607,889,556.25/34,021
6. Step 6: Final answer
   x = 76,655.29