Finding the Third Proportional to 16,381 and 35,761

Step by Step Solution

1. Step 1: Write the proportion equation
   16,381 : 35,761 = 35,761 : x
2. Step 2: Convert to fraction form
   16,381/35,761 = 35,761/x
3. Step 3: Cross multiply
   16,381x = 35,761 × 35,761
4. Step 4: Simplify right side
   16,381x = 1,278,849,121
5. Step 5: Solve for x
   x = 1,278,849,121/16,381
6. Step 6: Final answer
   x = 78,069.05