Finding the Third Proportional to 17,767 and 38,300

Step by Step Solution

1. Step 1: Write the proportion equation
   17,767 : 38,300 = 38,300 : x
2. Step 2: Convert to fraction form
   17,767/38,300 = 38,300/x
3. Step 3: Cross multiply
   17,767x = 38,300 × 38,300
4. Step 4: Simplify right side
   17,767x = 1,466,890,000
5. Step 5: Solve for x
   x = 1,466,890,000/17,767
6. Step 6: Final answer
   x = 82,562.62