Finding the Third Proportional to 19,584 and 31,112

Step by Step Solution

1. Step 1: Write the proportion equation
   19,584 : 31,112 = 31,112 : x
2. Step 2: Convert to fraction form
   19,584/31,112 = 31,112/x
3. Step 3: Cross multiply
   19,584x = 31,112 × 31,112
4. Step 4: Simplify right side
   19,584x = 967,956,544
5. Step 5: Solve for x
   x = 967,956,544/19,584
6. Step 6: Final answer
   x = 49,425.89