Finding the Third Proportional to 11,900 and 25,702

Step by Step Solution

1. Step 1: Write the proportion equation
   11,900 : 25,702 = 25,702 : x
2. Step 2: Convert to fraction form
   11,900/25,702 = 25,702/x
3. Step 3: Cross multiply
   11,900x = 25,702 × 25,702
4. Step 4: Simplify right side
   11,900x = 660,592,804
5. Step 5: Solve for x
   x = 660,592,804/11,900
6. Step 6: Final answer
   x = 55,512.00