Finding the Third Proportional to 23,444 and 47,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,444 : 47,757.50 = 47,757.50 : x
2. Step 2: Convert to fraction form
   23,444/47,757.50 = 47,757.50/x
3. Step 3: Cross multiply
   23,444x = 47,757.50 × 47,757.50
4. Step 4: Simplify right side
   23,444x = 2,280,778,806.25
5. Step 5: Solve for x
   x = 2,280,778,806.25/23,444
6. Step 6: Final answer
   x = 97,286.25