Finding the Third Proportional to 5,150.25 and 7,526.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,150.25 : 7,526.25 = 7,526.25 : x
2. Step 2: Convert to fraction form
   5,150.25/7,526.25 = 7,526.25/x
3. Step 3: Cross multiply
   5,150.25x = 7,526.25 × 7,526.25
4. Step 4: Simplify right side
   5,150.25x = 56,644,439.06
5. Step 5: Solve for x
   x = 56,644,439.06/5,150.25
6. Step 6: Final answer
   x = 10,998.39