Finding the Third Proportional to 16,026 and 34,364

Step by Step Solution

1. Step 1: Write the proportion equation
   16,026 : 34,364 = 34,364 : x
2. Step 2: Convert to fraction form
   16,026/34,364 = 34,364/x
3. Step 3: Cross multiply
   16,026x = 34,364 × 34,364
4. Step 4: Simplify right side
   16,026x = 1,180,884,496
5. Step 5: Solve for x
   x = 1,180,884,496/16,026
6. Step 6: Final answer
   x = 73,685.54