Finding the Third Proportional to 16,243 and 35,523

Step by Step Solution

1. Step 1: Write the proportion equation
   16,243 : 35,523 = 35,523 : x
2. Step 2: Convert to fraction form
   16,243/35,523 = 35,523/x
3. Step 3: Cross multiply
   16,243x = 35,523 × 35,523
4. Step 4: Simplify right side
   16,243x = 1,261,883,529
5. Step 5: Solve for x
   x = 1,261,883,529/16,243
6. Step 6: Final answer
   x = 77,687.84