Finding the Third Proportional to 10,751.38 and 16,289.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,751.38 : 16,289.06 = 16,289.06 : x
2. Step 2: Convert to fraction form
   10,751.38/16,289.06 = 16,289.06/x
3. Step 3: Cross multiply
   10,751.38x = 16,289.06 × 16,289.06
4. Step 4: Simplify right side
   10,751.38x = 265,333,557.13
5. Step 5: Solve for x
   x = 265,333,557.13/10,751.38
6. Step 6: Final answer
   x = 24,679.03