Finding the Third Proportional to 16,216 and 34,854

Step by Step Solution

1. Step 1: Write the proportion equation
   16,216 : 34,854 = 34,854 : x
2. Step 2: Convert to fraction form
   16,216/34,854 = 34,854/x
3. Step 3: Cross multiply
   16,216x = 34,854 × 34,854
4. Step 4: Simplify right side
   16,216x = 1,214,801,316
5. Step 5: Solve for x
   x = 1,214,801,316/16,216
6. Step 6: Final answer
   x = 74,913.75