Finding the Third Proportional to 17,579 and 38,314

Step by Step Solution

1. Step 1: Write the proportion equation
   17,579 : 38,314 = 38,314 : x
2. Step 2: Convert to fraction form
   17,579/38,314 = 38,314/x
3. Step 3: Cross multiply
   17,579x = 38,314 × 38,314
4. Step 4: Simplify right side
   17,579x = 1,467,962,596
5. Step 5: Solve for x
   x = 1,467,962,596/17,579
6. Step 6: Final answer
   x = 83,506.60