Finding the Third Proportional to 16,275 and 35,583

Step by Step Solution

1. Step 1: Write the proportion equation
   16,275 : 35,583 = 35,583 : x
2. Step 2: Convert to fraction form
   16,275/35,583 = 35,583/x
3. Step 3: Cross multiply
   16,275x = 35,583 × 35,583
4. Step 4: Simplify right side
   16,275x = 1,266,149,889
5. Step 5: Solve for x
   x = 1,266,149,889/16,275
6. Step 6: Final answer
   x = 77,797.23