Finding the Third Proportional to 17,848 and 38,410

Step by Step Solution

1. Step 1: Write the proportion equation
   17,848 : 38,410 = 38,410 : x
2. Step 2: Convert to fraction form
   17,848/38,410 = 38,410/x
3. Step 3: Cross multiply
   17,848x = 38,410 × 38,410
4. Step 4: Simplify right side
   17,848x = 1,475,328,100
5. Step 5: Solve for x
   x = 1,475,328,100/17,848
6. Step 6: Final answer
   x = 82,660.70