Finding the Third Proportional to 5,562.25 and 7,776.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,562.25 : 7,776.38 = 7,776.38 : x
2. Step 2: Convert to fraction form
   5,562.25/7,776.38 = 7,776.38/x
3. Step 3: Cross multiply
   5,562.25x = 7,776.38 × 7,776.38
4. Step 4: Simplify right side
   5,562.25x = 60,472,008.14
5. Step 5: Solve for x
   x = 60,472,008.14/5,562.25
6. Step 6: Final answer
   x = 10,871.86