Finding the Third Proportional to 16,477 and 35,527

Step by Step Solution

1. Step 1: Write the proportion equation
   16,477 : 35,527 = 35,527 : x
2. Step 2: Convert to fraction form
   16,477/35,527 = 35,527/x
3. Step 3: Cross multiply
   16,477x = 35,527 × 35,527
4. Step 4: Simplify right side
   16,477x = 1,262,167,729
5. Step 5: Solve for x
   x = 1,262,167,729/16,477
6. Step 6: Final answer
   x = 76,601.79