Finding the Third Proportional to 10,026 and 13,194

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 13,194 = 13,194 : x
2. Step 2: Convert to fraction form
   10,026/13,194 = 13,194/x
3. Step 3: Cross multiply
   10,026x = 13,194 × 13,194
4. Step 4: Simplify right side
   10,026x = 174,081,636
5. Step 5: Solve for x
   x = 174,081,636/10,026
6. Step 6: Final answer
   x = 17,363.02