Finding the Third Proportional to 16,210 and 35,587

Step by Step Solution

1. Step 1: Write the proportion equation
   16,210 : 35,587 = 35,587 : x
2. Step 2: Convert to fraction form
   16,210/35,587 = 35,587/x
3. Step 3: Cross multiply
   16,210x = 35,587 × 35,587
4. Step 4: Simplify right side
   16,210x = 1,266,434,569
5. Step 5: Solve for x
   x = 1,266,434,569/16,210
6. Step 6: Final answer
   x = 78,126.75