Finding the Third Proportional to 16,830 and 35,847

Step by Step Solution

1. Step 1: Write the proportion equation
   16,830 : 35,847 = 35,847 : x
2. Step 2: Convert to fraction form
   16,830/35,847 = 35,847/x
3. Step 3: Cross multiply
   16,830x = 35,847 × 35,847
4. Step 4: Simplify right side
   16,830x = 1,285,007,409
5. Step 5: Solve for x
   x = 1,285,007,409/16,830
6. Step 6: Final answer
   x = 76,352.19