Finding the Third Proportional to 19,674 and 31,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 31,168.50 = 31,168.50 : x
2. Step 2: Convert to fraction form
   19,674/31,168.50 = 31,168.50/x
3. Step 3: Cross multiply
   19,674x = 31,168.50 × 31,168.50
4. Step 4: Simplify right side
   19,674x = 971,475,392.25
5. Step 5: Solve for x
   x = 971,475,392.25/19,674
6. Step 6: Final answer
   x = 49,378.64