Finding the Third Proportional to 20,119 and 42,196

Step by Step Solution

1. Step 1: Write the proportion equation
   20,119 : 42,196 = 42,196 : x
2. Step 2: Convert to fraction form
   20,119/42,196 = 42,196/x
3. Step 3: Cross multiply
   20,119x = 42,196 × 42,196
4. Step 4: Simplify right side
   20,119x = 1,780,502,416
5. Step 5: Solve for x
   x = 1,780,502,416/20,119
6. Step 6: Final answer
   x = 88,498.55