Finding the Third Proportional to 17,720 and 25,196

Step by Step Solution

1. Step 1: Write the proportion equation
   17,720 : 25,196 = 25,196 : x
2. Step 2: Convert to fraction form
   17,720/25,196 = 25,196/x
3. Step 3: Cross multiply
   17,720x = 25,196 × 25,196
4. Step 4: Simplify right side
   17,720x = 634,838,416
5. Step 5: Solve for x
   x = 634,838,416/17,720
6. Step 6: Final answer
   x = 35,826.10