Finding the Third Proportional to 22,900 and 34,669

Step by Step Solution

1. Step 1: Write the proportion equation
   22,900 : 34,669 = 34,669 : x
2. Step 2: Convert to fraction form
   22,900/34,669 = 34,669/x
3. Step 3: Cross multiply
   22,900x = 34,669 × 34,669
4. Step 4: Simplify right side
   22,900x = 1,201,939,561
5. Step 5: Solve for x
   x = 1,201,939,561/22,900
6. Step 6: Final answer
   x = 52,486.44