Finding the Third Proportional to 14,584 and 30,882

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584 : 30,882 = 30,882 : x
2. Step 2: Convert to fraction form
   14,584/30,882 = 30,882/x
3. Step 3: Cross multiply
   14,584x = 30,882 × 30,882
4. Step 4: Simplify right side
   14,584x = 953,697,924
5. Step 5: Solve for x
   x = 953,697,924/14,584
6. Step 6: Final answer
   x = 65,393.44