Finding the Third Proportional to 10,180.69 and 17,551.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180.69 : 17,551.69 = 17,551.69 : x
2. Step 2: Convert to fraction form
   10,180.69/17,551.69 = 17,551.69/x
3. Step 3: Cross multiply
   10,180.69x = 17,551.69 × 17,551.69
4. Step 4: Simplify right side
   10,180.69x = 308,061,734.10
5. Step 5: Solve for x
   x = 308,061,734.10/10,180.69
6. Step 6: Final answer
   x = 30,259.42