Finding the Third Proportional to 16,026 and 34,517

Step by Step Solution

1. Step 1: Write the proportion equation
   16,026 : 34,517 = 34,517 : x
2. Step 2: Convert to fraction form
   16,026/34,517 = 34,517/x
3. Step 3: Cross multiply
   16,026x = 34,517 × 34,517
4. Step 4: Simplify right side
   16,026x = 1,191,423,289
5. Step 5: Solve for x
   x = 1,191,423,289/16,026
6. Step 6: Final answer
   x = 74,343.15