Finding the Third Proportional to 8,123 and 17,629

Step by Step Solution

1. Step 1: Write the proportion equation
   8,123 : 17,629 = 17,629 : x
2. Step 2: Convert to fraction form
   8,123/17,629 = 17,629/x
3. Step 3: Cross multiply
   8,123x = 17,629 × 17,629
4. Step 4: Simplify right side
   8,123x = 310,781,641
5. Step 5: Solve for x
   x = 310,781,641/8,123
6. Step 6: Final answer
   x = 38,259.47