Finding the Third Proportional to 23,529 and 50,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,529 : 50,338.50 = 50,338.50 : x
2. Step 2: Convert to fraction form
   23,529/50,338.50 = 50,338.50/x
3. Step 3: Cross multiply
   23,529x = 50,338.50 × 50,338.50
4. Step 4: Simplify right side
   23,529x = 2,533,964,582.25
5. Step 5: Solve for x
   x = 2,533,964,582.25/23,529
6. Step 6: Final answer
   x = 107,695.38