Finding the Third Proportional to 7,557.75 and 10,145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,557.75 : 10,145.25 = 10,145.25 : x
2. Step 2: Convert to fraction form
   7,557.75/10,145.25 = 10,145.25/x
3. Step 3: Cross multiply
   7,557.75x = 10,145.25 × 10,145.25
4. Step 4: Simplify right side
   7,557.75x = 102,926,097.56
5. Step 5: Solve for x
   x = 102,926,097.56/7,557.75
6. Step 6: Final answer
   x = 13,618.62