Finding the Third Proportional to 16,455 and 35,537

Step by Step Solution

1. Step 1: Write the proportion equation
   16,455 : 35,537 = 35,537 : x
2. Step 2: Convert to fraction form
   16,455/35,537 = 35,537/x
3. Step 3: Cross multiply
   16,455x = 35,537 × 35,537
4. Step 4: Simplify right side
   16,455x = 1,262,878,369
5. Step 5: Solve for x
   x = 1,262,878,369/16,455
6. Step 6: Final answer
   x = 76,747.39