Finding the Third Proportional to 5,195.25 and 7,772.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,195.25 : 7,772.06 = 7,772.06 : x
2. Step 2: Convert to fraction form
   5,195.25/7,772.06 = 7,772.06/x
3. Step 3: Cross multiply
   5,195.25x = 7,772.06 × 7,772.06
4. Step 4: Simplify right side
   5,195.25x = 60,404,955.50
5. Step 5: Solve for x
   x = 60,404,955.50/5,195.25
6. Step 6: Final answer
   x = 11,626.96