Finding the Third Proportional to 4,542 and 10,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,542 : 10,942.50 = 10,942.50 : x
2. Step 2: Convert to fraction form
   4,542/10,942.50 = 10,942.50/x
3. Step 3: Cross multiply
   4,542x = 10,942.50 × 10,942.50
4. Step 4: Simplify right side
   4,542x = 119,738,306.25
5. Step 5: Solve for x
   x = 119,738,306.25/4,542
6. Step 6: Final answer
   x = 26,362.46