Finding the Third Proportional to 16,032 and 34,833

Step by Step Solution

1. Step 1: Write the proportion equation
   16,032 : 34,833 = 34,833 : x
2. Step 2: Convert to fraction form
   16,032/34,833 = 34,833/x
3. Step 3: Cross multiply
   16,032x = 34,833 × 34,833
4. Step 4: Simplify right side
   16,032x = 1,213,337,889
5. Step 5: Solve for x
   x = 1,213,337,889/16,032
6. Step 6: Final answer
   x = 75,682.25