Finding the Third Proportional to 23,023 and 49,323

Step by Step Solution

1. Step 1: Write the proportion equation
   23,023 : 49,323 = 49,323 : x
2. Step 2: Convert to fraction form
   23,023/49,323 = 49,323/x
3. Step 3: Cross multiply
   23,023x = 49,323 × 49,323
4. Step 4: Simplify right side
   23,023x = 2,432,758,329
5. Step 5: Solve for x
   x = 2,432,758,329/23,023
6. Step 6: Final answer
   x = 105,666.43