Finding the Third Proportional to 16,111 and 35,427

Step by Step Solution

1. Step 1: Write the proportion equation
   16,111 : 35,427 = 35,427 : x
2. Step 2: Convert to fraction form
   16,111/35,427 = 35,427/x
3. Step 3: Cross multiply
   16,111x = 35,427 × 35,427
4. Step 4: Simplify right side
   16,111x = 1,255,072,329
5. Step 5: Solve for x
   x = 1,255,072,329/16,111
6. Step 6: Final answer
   x = 77,901.58