Finding the Third Proportional to 16,969 and 35,853

Step by Step Solution

1. Step 1: Write the proportion equation
   16,969 : 35,853 = 35,853 : x
2. Step 2: Convert to fraction form
   16,969/35,853 = 35,853/x
3. Step 3: Cross multiply
   16,969x = 35,853 × 35,853
4. Step 4: Simplify right side
   16,969x = 1,285,437,609
5. Step 5: Solve for x
   x = 1,285,437,609/16,969
6. Step 6: Final answer
   x = 75,752.11