Finding the Third Proportional to 16,000 and 35,216

Step by Step Solution

1. Step 1: Write the proportion equation
   16,000 : 35,216 = 35,216 : x
2. Step 2: Convert to fraction form
   16,000/35,216 = 35,216/x
3. Step 3: Cross multiply
   16,000x = 35,216 × 35,216
4. Step 4: Simplify right side
   16,000x = 1,240,166,656
5. Step 5: Solve for x
   x = 1,240,166,656/16,000
6. Step 6: Final answer
   x = 77,510.42