Finding the Third Proportional to 11,830 and 25,814

Step by Step Solution

1. Step 1: Write the proportion equation
   11,830 : 25,814 = 25,814 : x
2. Step 2: Convert to fraction form
   11,830/25,814 = 25,814/x
3. Step 3: Cross multiply
   11,830x = 25,814 × 25,814
4. Step 4: Simplify right side
   11,830x = 666,362,596
5. Step 5: Solve for x
   x = 666,362,596/11,830
6. Step 6: Final answer
   x = 56,328.20