Finding the Third Proportional to 23,510 and 33,429

Step by Step Solution

1. Step 1: Write the proportion equation
   23,510 : 33,429 = 33,429 : x
2. Step 2: Convert to fraction form
   23,510/33,429 = 33,429/x
3. Step 3: Cross multiply
   23,510x = 33,429 × 33,429
4. Step 4: Simplify right side
   23,510x = 1,117,498,041
5. Step 5: Solve for x
   x = 1,117,498,041/23,510
6. Step 6: Final answer
   x = 47,532.88