Finding the Third Proportional to 23,184 and 49,248

Step by Step Solution

1. Step 1: Write the proportion equation
   23,184 : 49,248 = 49,248 : x
2. Step 2: Convert to fraction form
   23,184/49,248 = 49,248/x
3. Step 3: Cross multiply
   23,184x = 49,248 × 49,248
4. Step 4: Simplify right side
   23,184x = 2,425,365,504
5. Step 5: Solve for x
   x = 2,425,365,504/23,184
6. Step 6: Final answer
   x = 104,613.76