Finding the Third Proportional to 17,474 and 38,380

Step by Step Solution

1. Step 1: Write the proportion equation
   17,474 : 38,380 = 38,380 : x
2. Step 2: Convert to fraction form
   17,474/38,380 = 38,380/x
3. Step 3: Cross multiply
   17,474x = 38,380 × 38,380
4. Step 4: Simplify right side
   17,474x = 1,473,024,400
5. Step 5: Solve for x
   x = 1,473,024,400/17,474
6. Step 6: Final answer
   x = 84,298.07