Finding the Third Proportional to 6,426 and 15,123

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426 : 15,123 = 15,123 : x
2. Step 2: Convert to fraction form
   6,426/15,123 = 15,123/x
3. Step 3: Cross multiply
   6,426x = 15,123 × 15,123
4. Step 4: Simplify right side
   6,426x = 228,705,129
5. Step 5: Solve for x
   x = 228,705,129/6,426
6. Step 6: Final answer
   x = 35,590.59