Finding the Third Proportional to 17,678 and 38,123

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678 : 38,123 = 38,123 : x
2. Step 2: Convert to fraction form
   17,678/38,123 = 38,123/x
3. Step 3: Cross multiply
   17,678x = 38,123 × 38,123
4. Step 4: Simplify right side
   17,678x = 1,453,363,129
5. Step 5: Solve for x
   x = 1,453,363,129/17,678
6. Step 6: Final answer
   x = 82,213.10