Finding the Third Proportional to 23,033 and 49,342

Step by Step Solution

1. Step 1: Write the proportion equation
   23,033 : 49,342 = 49,342 : x
2. Step 2: Convert to fraction form
   23,033/49,342 = 49,342/x
3. Step 3: Cross multiply
   23,033x = 49,342 × 49,342
4. Step 4: Simplify right side
   23,033x = 2,434,632,964
5. Step 5: Solve for x
   x = 2,434,632,964/23,033
6. Step 6: Final answer
   x = 105,701.95