Finding the Third Proportional to 16,310 and 35,692

Step by Step Solution

1. Step 1: Write the proportion equation
   16,310 : 35,692 = 35,692 : x
2. Step 2: Convert to fraction form
   16,310/35,692 = 35,692/x
3. Step 3: Cross multiply
   16,310x = 35,692 × 35,692
4. Step 4: Simplify right side
   16,310x = 1,273,918,864
5. Step 5: Solve for x
   x = 1,273,918,864/16,310
6. Step 6: Final answer
   x = 78,106.61