Finding the Third Proportional to 16,706 and 38,846

Step by Step Solution

1. Step 1: Write the proportion equation
   16,706 : 38,846 = 38,846 : x
2. Step 2: Convert to fraction form
   16,706/38,846 = 38,846/x
3. Step 3: Cross multiply
   16,706x = 38,846 × 38,846
4. Step 4: Simplify right side
   16,706x = 1,509,011,716
5. Step 5: Solve for x
   x = 1,509,011,716/16,706
6. Step 6: Final answer
   x = 90,327.53