Finding the Third Proportional to 17,856 and 38,685.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 38,685.38 = 38,685.38 : x
2. Step 2: Convert to fraction form
   17,856/38,685.38 = 38,685.38/x
3. Step 3: Cross multiply
   17,856x = 38,685.38 × 38,685.38
4. Step 4: Simplify right side
   17,856x = 1,496,558,238.89
5. Step 5: Solve for x
   x = 1,496,558,238.89/17,856
6. Step 6: Final answer
   x = 83,812.63