Finding the Third Proportional to 16,458 and 35,710

Step by Step Solution

1. Step 1: Write the proportion equation
   16,458 : 35,710 = 35,710 : x
2. Step 2: Convert to fraction form
   16,458/35,710 = 35,710/x
3. Step 3: Cross multiply
   16,458x = 35,710 × 35,710
4. Step 4: Simplify right side
   16,458x = 1,275,204,100
5. Step 5: Solve for x
   x = 1,275,204,100/16,458
6. Step 6: Final answer
   x = 77,482.32