Finding the Third Proportional to 23,644 and 32,128

Step by Step Solution

1. Step 1: Write the proportion equation
   23,644 : 32,128 = 32,128 : x
2. Step 2: Convert to fraction form
   23,644/32,128 = 32,128/x
3. Step 3: Cross multiply
   23,644x = 32,128 × 32,128
4. Step 4: Simplify right side
   23,644x = 1,032,208,384
5. Step 5: Solve for x
   x = 1,032,208,384/23,644
6. Step 6: Final answer
   x = 43,656.25