Finding the Third Proportional to 16,191 and 34,983

Step by Step Solution

1. Step 1: Write the proportion equation
   16,191 : 34,983 = 34,983 : x
2. Step 2: Convert to fraction form
   16,191/34,983 = 34,983/x
3. Step 3: Cross multiply
   16,191x = 34,983 × 34,983
4. Step 4: Simplify right side
   16,191x = 1,223,810,289
5. Step 5: Solve for x
   x = 1,223,810,289/16,191
6. Step 6: Final answer
   x = 75,585.84