Finding the Third Proportional to 16,380 and 25,196

Step by Step Solution

1. Step 1: Write the proportion equation
   16,380 : 25,196 = 25,196 : x
2. Step 2: Convert to fraction form
   16,380/25,196 = 25,196/x
3. Step 3: Cross multiply
   16,380x = 25,196 × 25,196
4. Step 4: Simplify right side
   16,380x = 634,838,416
5. Step 5: Solve for x
   x = 634,838,416/16,380
6. Step 6: Final answer
   x = 38,756.92