Finding the Third Proportional to 10,338.38 and 14,646.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338.38 : 14,646.75 = 14,646.75 : x
2. Step 2: Convert to fraction form
   10,338.38/14,646.75 = 14,646.75/x
3. Step 3: Cross multiply
   10,338.38x = 14,646.75 × 14,646.75
4. Step 4: Simplify right side
   10,338.38x = 214,527,285.56
5. Step 5: Solve for x
   x = 214,527,285.56/10,338.38
6. Step 6: Final answer
   x = 20,750.58