Finding the Third Proportional to 23,825 and 55,396

Step by Step Solution

1. Step 1: Write the proportion equation
   23,825 : 55,396 = 55,396 : x
2. Step 2: Convert to fraction form
   23,825/55,396 = 55,396/x
3. Step 3: Cross multiply
   23,825x = 55,396 × 55,396
4. Step 4: Simplify right side
   23,825x = 3,068,716,816
5. Step 5: Solve for x
   x = 3,068,716,816/23,825
6. Step 6: Final answer
   x = 128,802.38