Finding the Third Proportional to 12,150 and 17,739

Step by Step Solution

1. Step 1: Write the proportion equation
   12,150 : 17,739 = 17,739 : x
2. Step 2: Convert to fraction form
   12,150/17,739 = 17,739/x
3. Step 3: Cross multiply
   12,150x = 17,739 × 17,739
4. Step 4: Simplify right side
   12,150x = 314,672,121
5. Step 5: Solve for x
   x = 314,672,121/12,150
6. Step 6: Final answer
   x = 25,898.94