Finding the Third Proportional to 16,406 and 35,148

Step by Step Solution

1. Step 1: Write the proportion equation
   16,406 : 35,148 = 35,148 : x
2. Step 2: Convert to fraction form
   16,406/35,148 = 35,148/x
3. Step 3: Cross multiply
   16,406x = 35,148 × 35,148
4. Step 4: Simplify right side
   16,406x = 1,235,381,904
5. Step 5: Solve for x
   x = 1,235,381,904/16,406
6. Step 6: Final answer
   x = 75,300.62