Finding the Third Proportional to 7,740 and 10,898

Step by Step Solution

1. Step 1: Write the proportion equation
   7,740 : 10,898 = 10,898 : x
2. Step 2: Convert to fraction form
   7,740/10,898 = 10,898/x
3. Step 3: Cross multiply
   7,740x = 10,898 × 10,898
4. Step 4: Simplify right side
   7,740x = 118,766,404
5. Step 5: Solve for x
   x = 118,766,404/7,740
6. Step 6: Final answer
   x = 15,344.50