Finding the Third Proportional to 7,766 and 17,300

Step by Step Solution

1. Step 1: Write the proportion equation
   7,766 : 17,300 = 17,300 : x
2. Step 2: Convert to fraction form
   7,766/17,300 = 17,300/x
3. Step 3: Cross multiply
   7,766x = 17,300 × 17,300
4. Step 4: Simplify right side
   7,766x = 299,290,000
5. Step 5: Solve for x
   x = 299,290,000/7,766
6. Step 6: Final answer
   x = 38,538.50