Finding the Third Proportional to 16,074 and 34,821

Step by Step Solution

1. Step 1: Write the proportion equation
   16,074 : 34,821 = 34,821 : x
2. Step 2: Convert to fraction form
   16,074/34,821 = 34,821/x
3. Step 3: Cross multiply
   16,074x = 34,821 × 34,821
4. Step 4: Simplify right side
   16,074x = 1,212,502,041
5. Step 5: Solve for x
   x = 1,212,502,041/16,074
6. Step 6: Final answer
   x = 75,432.50