Finding the Third Proportional to 5,627.81 and 7,552.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,627.81 : 7,552.41 = 7,552.41 : x
2. Step 2: Convert to fraction form
   5,627.81/7,552.41 = 7,552.41/x
3. Step 3: Cross multiply
   5,627.81x = 7,552.41 × 7,552.41
4. Step 4: Simplify right side
   5,627.81x = 57,038,840.17
5. Step 5: Solve for x
   x = 57,038,840.17/5,627.81
6. Step 6: Final answer
   x = 10,135.17