Finding the Third Proportional to 16,543 and 35,866

Step by Step Solution

1. Step 1: Write the proportion equation
   16,543 : 35,866 = 35,866 : x
2. Step 2: Convert to fraction form
   16,543/35,866 = 35,866/x
3. Step 3: Cross multiply
   16,543x = 35,866 × 35,866
4. Step 4: Simplify right side
   16,543x = 1,286,369,956
5. Step 5: Solve for x
   x = 1,286,369,956/16,543
6. Step 6: Final answer
   x = 77,759.17