Finding the Third Proportional to 6,564.75 and 10,090.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,564.75 : 10,090.25 = 10,090.25 : x
2. Step 2: Convert to fraction form
   6,564.75/10,090.25 = 10,090.25/x
3. Step 3: Cross multiply
   6,564.75x = 10,090.25 × 10,090.25
4. Step 4: Simplify right side
   6,564.75x = 101,813,145.06
5. Step 5: Solve for x
   x = 101,813,145.06/6,564.75
6. Step 6: Final answer
   x = 15,509.07