Finding the Third Proportional to 49,248 and 72,144

Step by Step Solution

1. Step 1: Write the proportion equation
   49,248 : 72,144 = 72,144 : x
2. Step 2: Convert to fraction form
   49,248/72,144 = 72,144/x
3. Step 3: Cross multiply
   49,248x = 72,144 × 72,144
4. Step 4: Simplify right side
   49,248x = 5,204,756,736
5. Step 5: Solve for x
   x = 5,204,756,736/49,248
6. Step 6: Final answer
   x = 105,684.63