Finding the Third Proportional to 22,401 and 49,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,401 : 49,459.50 = 49,459.50 : x
2. Step 2: Convert to fraction form
   22,401/49,459.50 = 49,459.50/x
3. Step 3: Cross multiply
   22,401x = 49,459.50 × 49,459.50
4. Step 4: Simplify right side
   22,401x = 2,446,242,140.25
5. Step 5: Solve for x
   x = 2,446,242,140.25/22,401
6. Step 6: Final answer
   x = 109,202.36