Finding the Third Proportional to 16,371 and 35,659

Step by Step Solution

1. Step 1: Write the proportion equation
   16,371 : 35,659 = 35,659 : x
2. Step 2: Convert to fraction form
   16,371/35,659 = 35,659/x
3. Step 3: Cross multiply
   16,371x = 35,659 × 35,659
4. Step 4: Simplify right side
   16,371x = 1,271,564,281
5. Step 5: Solve for x
   x = 1,271,564,281/16,371
6. Step 6: Final answer
   x = 77,671.75