Finding the Third Proportional to 23,825 and 35,023

Step by Step Solution

1. Step 1: Write the proportion equation
   23,825 : 35,023 = 35,023 : x
2. Step 2: Convert to fraction form
   23,825/35,023 = 35,023/x
3. Step 3: Cross multiply
   23,825x = 35,023 × 35,023
4. Step 4: Simplify right side
   23,825x = 1,226,610,529
5. Step 5: Solve for x
   x = 1,226,610,529/23,825
6. Step 6: Final answer
   x = 51,484.18