Finding the Third Proportional to 23,520 and 50,196

Step by Step Solution

1. Step 1: Write the proportion equation
   23,520 : 50,196 = 50,196 : x
2. Step 2: Convert to fraction form
   23,520/50,196 = 50,196/x
3. Step 3: Cross multiply
   23,520x = 50,196 × 50,196
4. Step 4: Simplify right side
   23,520x = 2,519,638,416
5. Step 5: Solve for x
   x = 2,519,638,416/23,520
6. Step 6: Final answer
   x = 107,127.48