Finding the Third Proportional to 16,262 and 35,620

Step by Step Solution

1. Step 1: Write the proportion equation
   16,262 : 35,620 = 35,620 : x
2. Step 2: Convert to fraction form
   16,262/35,620 = 35,620/x
3. Step 3: Cross multiply
   16,262x = 35,620 × 35,620
4. Step 4: Simplify right side
   16,262x = 1,268,784,400
5. Step 5: Solve for x
   x = 1,268,784,400/16,262
6. Step 6: Final answer
   x = 78,021.42