Finding the Third Proportional to 16,146 and 34,841

Step by Step Solution

1. Step 1: Write the proportion equation
   16,146 : 34,841 = 34,841 : x
2. Step 2: Convert to fraction form
   16,146/34,841 = 34,841/x
3. Step 3: Cross multiply
   16,146x = 34,841 × 34,841
4. Step 4: Simplify right side
   16,146x = 1,213,895,281
5. Step 5: Solve for x
   x = 1,213,895,281/16,146
6. Step 6: Final answer
   x = 75,182.42