Finding the Third Proportional to 16,442 and 35,677

Step by Step Solution

1. Step 1: Write the proportion equation
   16,442 : 35,677 = 35,677 : x
2. Step 2: Convert to fraction form
   16,442/35,677 = 35,677/x
3. Step 3: Cross multiply
   16,442x = 35,677 × 35,677
4. Step 4: Simplify right side
   16,442x = 1,272,848,329
5. Step 5: Solve for x
   x = 1,272,848,329/16,442
6. Step 6: Final answer
   x = 77,414.45