Finding the Third Proportional to 16,291 and 35,385

Step by Step Solution

1. Step 1: Write the proportion equation
   16,291 : 35,385 = 35,385 : x
2. Step 2: Convert to fraction form
   16,291/35,385 = 35,385/x
3. Step 3: Cross multiply
   16,291x = 35,385 × 35,385
4. Step 4: Simplify right side
   16,291x = 1,252,098,225
5. Step 5: Solve for x
   x = 1,252,098,225/16,291
6. Step 6: Final answer
   x = 76,858.28