Finding the Third Proportional to 22,906 and 32,678

Step by Step Solution

1. Step 1: Write the proportion equation
   22,906 : 32,678 = 32,678 : x
2. Step 2: Convert to fraction form
   22,906/32,678 = 32,678/x
3. Step 3: Cross multiply
   22,906x = 32,678 × 32,678
4. Step 4: Simplify right side
   22,906x = 1,067,851,684
5. Step 5: Solve for x
   x = 1,067,851,684/22,906
6. Step 6: Final answer
   x = 46,618.86