Finding the Third Proportional to 16,506 and 35,055

Step by Step Solution

1. Step 1: Write the proportion equation
   16,506 : 35,055 = 35,055 : x
2. Step 2: Convert to fraction form
   16,506/35,055 = 35,055/x
3. Step 3: Cross multiply
   16,506x = 35,055 × 35,055
4. Step 4: Simplify right side
   16,506x = 1,228,853,025
5. Step 5: Solve for x
   x = 1,228,853,025/16,506
6. Step 6: Final answer
   x = 74,448.87