Finding the Third Proportional to 6,592 and 10,740

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592 : 10,740 = 10,740 : x
2. Step 2: Convert to fraction form
   6,592/10,740 = 10,740/x
3. Step 3: Cross multiply
   6,592x = 10,740 × 10,740
4. Step 4: Simplify right side
   6,592x = 115,347,600
5. Step 5: Solve for x
   x = 115,347,600/6,592
6. Step 6: Final answer
   x = 17,498.12