Finding the Third Proportional to 7,770.94 and 9,127.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,770.94 : 9,127.69 = 9,127.69 : x
2. Step 2: Convert to fraction form
   7,770.94/9,127.69 = 9,127.69/x
3. Step 3: Cross multiply
   7,770.94x = 9,127.69 × 9,127.69
4. Step 4: Simplify right side
   7,770.94x = 83,314,679.10
5. Step 5: Solve for x
   x = 83,314,679.10/7,770.94
6. Step 6: Final answer
   x = 10,721.32