Finding the Third Proportional to 16,542 and 35,892

Step by Step Solution

1. Step 1: Write the proportion equation
   16,542 : 35,892 = 35,892 : x
2. Step 2: Convert to fraction form
   16,542/35,892 = 35,892/x
3. Step 3: Cross multiply
   16,542x = 35,892 × 35,892
4. Step 4: Simplify right side
   16,542x = 1,288,235,664
5. Step 5: Solve for x
   x = 1,288,235,664/16,542
6. Step 6: Final answer
   x = 77,876.66