Finding the Third Proportional to 16,781 and 35,557

Step by Step Solution

1. Step 1: Write the proportion equation
   16,781 : 35,557 = 35,557 : x
2. Step 2: Convert to fraction form
   16,781/35,557 = 35,557/x
3. Step 3: Cross multiply
   16,781x = 35,557 × 35,557
4. Step 4: Simplify right side
   16,781x = 1,264,300,249
5. Step 5: Solve for x
   x = 1,264,300,249/16,781
6. Step 6: Final answer
   x = 75,341.17