Finding the Third Proportional to 9,026 and 13,466

Step by Step Solution

1. Step 1: Write the proportion equation
   9,026 : 13,466 = 13,466 : x
2. Step 2: Convert to fraction form
   9,026/13,466 = 13,466/x
3. Step 3: Cross multiply
   9,026x = 13,466 × 13,466
4. Step 4: Simplify right side
   9,026x = 181,333,156
5. Step 5: Solve for x
   x = 181,333,156/9,026
6. Step 6: Final answer
   x = 20,090.09