Finding the Third Proportional to 16,434 and 35,172

Step by Step Solution

1. Step 1: Write the proportion equation
   16,434 : 35,172 = 35,172 : x
2. Step 2: Convert to fraction form
   16,434/35,172 = 35,172/x
3. Step 3: Cross multiply
   16,434x = 35,172 × 35,172
4. Step 4: Simplify right side
   16,434x = 1,237,069,584
5. Step 5: Solve for x
   x = 1,237,069,584/16,434
6. Step 6: Final answer
   x = 75,275.01