Finding the Third Proportional to 12,829 and 20,054

Step by Step Solution

1. Step 1: Write the proportion equation
   12,829 : 20,054 = 20,054 : x
2. Step 2: Convert to fraction form
   12,829/20,054 = 20,054/x
3. Step 3: Cross multiply
   12,829x = 20,054 × 20,054
4. Step 4: Simplify right side
   12,829x = 402,162,916
5. Step 5: Solve for x
   x = 402,162,916/12,829
6. Step 6: Final answer
   x = 31,347.96