Finding the Third Proportional to 10,401 and 24,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401 : 24,553.50 = 24,553.50 : x
2. Step 2: Convert to fraction form
   10,401/24,553.50 = 24,553.50/x
3. Step 3: Cross multiply
   10,401x = 24,553.50 × 24,553.50
4. Step 4: Simplify right side
   10,401x = 602,874,362.25
5. Step 5: Solve for x
   x = 602,874,362.25/10,401
6. Step 6: Final answer
   x = 57,963.12