Finding the Third Proportional to 12,634 and 19,820

Step by Step Solution

1. Step 1: Write the proportion equation
   12,634 : 19,820 = 19,820 : x
2. Step 2: Convert to fraction form
   12,634/19,820 = 19,820/x
3. Step 3: Cross multiply
   12,634x = 19,820 × 19,820
4. Step 4: Simplify right side
   12,634x = 392,832,400
5. Step 5: Solve for x
   x = 392,832,400/12,634
6. Step 6: Final answer
   x = 31,093.27