Finding the Third Proportional to 16,269 and 35,526

Step by Step Solution

1. Step 1: Write the proportion equation
   16,269 : 35,526 = 35,526 : x
2. Step 2: Convert to fraction form
   16,269/35,526 = 35,526/x
3. Step 3: Cross multiply
   16,269x = 35,526 × 35,526
4. Step 4: Simplify right side
   16,269x = 1,262,096,676
5. Step 5: Solve for x
   x = 1,262,096,676/16,269
6. Step 6: Final answer
   x = 77,576.78