Finding the Third Proportional to 16,442 and 35,890

Step by Step Solution

1. Step 1: Write the proportion equation
   16,442 : 35,890 = 35,890 : x
2. Step 2: Convert to fraction form
   16,442/35,890 = 35,890/x
3. Step 3: Cross multiply
   16,442x = 35,890 × 35,890
4. Step 4: Simplify right side
   16,442x = 1,288,092,100
5. Step 5: Solve for x
   x = 1,288,092,100/16,442
6. Step 6: Final answer
   x = 78,341.57