Finding the Third Proportional to 16,425 and 35,470

Step by Step Solution

1. Step 1: Write the proportion equation
   16,425 : 35,470 = 35,470 : x
2. Step 2: Convert to fraction form
   16,425/35,470 = 35,470/x
3. Step 3: Cross multiply
   16,425x = 35,470 × 35,470
4. Step 4: Simplify right side
   16,425x = 1,258,120,900
5. Step 5: Solve for x
   x = 1,258,120,900/16,425
6. Step 6: Final answer
   x = 76,597.92