Finding the Third Proportional to 16,385 and 25,186

Step by Step Solution

1. Step 1: Write the proportion equation
   16,385 : 25,186 = 25,186 : x
2. Step 2: Convert to fraction form
   16,385/25,186 = 25,186/x
3. Step 3: Cross multiply
   16,385x = 25,186 × 25,186
4. Step 4: Simplify right side
   16,385x = 634,334,596
5. Step 5: Solve for x
   x = 634,334,596/16,385
6. Step 6: Final answer
   x = 38,714.35