Finding the Third Proportional to 16,026 and 34,518

Step by Step Solution

1. Step 1: Write the proportion equation
   16,026 : 34,518 = 34,518 : x
2. Step 2: Convert to fraction form
   16,026/34,518 = 34,518/x
3. Step 3: Cross multiply
   16,026x = 34,518 × 34,518
4. Step 4: Simplify right side
   16,026x = 1,191,492,324
5. Step 5: Solve for x
   x = 1,191,492,324/16,026
6. Step 6: Final answer
   x = 74,347.46