Finding the Third Proportional to 14,556 and 31,882

Step by Step Solution

1. Step 1: Write the proportion equation
   14,556 : 31,882 = 31,882 : x
2. Step 2: Convert to fraction form
   14,556/31,882 = 31,882/x
3. Step 3: Cross multiply
   14,556x = 31,882 × 31,882
4. Step 4: Simplify right side
   14,556x = 1,016,461,924
5. Step 5: Solve for x
   x = 1,016,461,924/14,556
6. Step 6: Final answer
   x = 69,831.13