Finding the Third Proportional to 12,500 and 19,894

Step by Step Solution

1. Step 1: Write the proportion equation
   12,500 : 19,894 = 19,894 : x
2. Step 2: Convert to fraction form
   12,500/19,894 = 19,894/x
3. Step 3: Cross multiply
   12,500x = 19,894 × 19,894
4. Step 4: Simplify right side
   12,500x = 395,771,236
5. Step 5: Solve for x
   x = 395,771,236/12,500
6. Step 6: Final answer
   x = 31,661.70