Finding the Third Proportional to 24,072 and 49,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,072 : 49,678.50 = 49,678.50 : x
2. Step 2: Convert to fraction form
   24,072/49,678.50 = 49,678.50/x
3. Step 3: Cross multiply
   24,072x = 49,678.50 × 49,678.50
4. Step 4: Simplify right side
   24,072x = 2,467,953,362.25
5. Step 5: Solve for x
   x = 2,467,953,362.25/24,072
6. Step 6: Final answer
   x = 102,523.82