Finding the Third Proportional to 10,153.69 and 15,274.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.69 : 15,274.69 = 15,274.69 : x
2. Step 2: Convert to fraction form
   10,153.69/15,274.69 = 15,274.69/x
3. Step 3: Cross multiply
   10,153.69x = 15,274.69 × 15,274.69
4. Step 4: Simplify right side
   10,153.69x = 233,316,078.22
5. Step 5: Solve for x
   x = 233,316,078.22/10,153.69
6. Step 6: Final answer
   x = 22,978.46