Finding the Third Proportional to 22,821 and 34,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,821 : 34,078.50 = 34,078.50 : x
2. Step 2: Convert to fraction form
   22,821/34,078.50 = 34,078.50/x
3. Step 3: Cross multiply
   22,821x = 34,078.50 × 34,078.50
4. Step 4: Simplify right side
   22,821x = 1,161,344,162.25
5. Step 5: Solve for x
   x = 1,161,344,162.25/22,821
6. Step 6: Final answer
   x = 50,889.28