Finding the Third Proportional to 15,123 and 17,229

Step by Step Solution

1. Step 1: Write the proportion equation
   15,123 : 17,229 = 17,229 : x
2. Step 2: Convert to fraction form
   15,123/17,229 = 17,229/x
3. Step 3: Cross multiply
   15,123x = 17,229 × 17,229
4. Step 4: Simplify right side
   15,123x = 296,838,441
5. Step 5: Solve for x
   x = 296,838,441/15,123
6. Step 6: Final answer
   x = 19,628.28