Finding the Third Proportional to 20,352 and 31,128

Step by Step Solution

1. Step 1: Write the proportion equation
   20,352 : 31,128 = 31,128 : x
2. Step 2: Convert to fraction form
   20,352/31,128 = 31,128/x
3. Step 3: Cross multiply
   20,352x = 31,128 × 31,128
4. Step 4: Simplify right side
   20,352x = 968,952,384
5. Step 5: Solve for x
   x = 968,952,384/20,352
6. Step 6: Final answer
   x = 47,609.69