Finding the Third Proportional to 10,401.75 and 22,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.75 : 22,747.50 = 22,747.50 : x
2. Step 2: Convert to fraction form
   10,401.75/22,747.50 = 22,747.50/x
3. Step 3: Cross multiply
   10,401.75x = 22,747.50 × 22,747.50
4. Step 4: Simplify right side
   10,401.75x = 517,448,756.25
5. Step 5: Solve for x
   x = 517,448,756.25/10,401.75
6. Step 6: Final answer
   x = 49,746.32