Finding the Third Proportional to 17,885.25 and 38,846

Step by Step Solution

1. Step 1: Write the proportion equation
   17,885.25 : 38,846 = 38,846 : x
2. Step 2: Convert to fraction form
   17,885.25/38,846 = 38,846/x
3. Step 3: Cross multiply
   17,885.25x = 38,846 × 38,846
4. Step 4: Simplify right side
   17,885.25x = 1,509,011,716
5. Step 5: Solve for x
   x = 1,509,011,716/17,885.25
6. Step 6: Final answer
   x = 84,371.85