Finding the Third Proportional to 17,314 and 38,084

Step by Step Solution

1. Step 1: Write the proportion equation
   17,314 : 38,084 = 38,084 : x
2. Step 2: Convert to fraction form
   17,314/38,084 = 38,084/x
3. Step 3: Cross multiply
   17,314x = 38,084 × 38,084
4. Step 4: Simplify right side
   17,314x = 1,450,391,056
5. Step 5: Solve for x
   x = 1,450,391,056/17,314
6. Step 6: Final answer
   x = 83,769.84