Finding the Third Proportional to 10,106.69 and 15,902.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.69 : 15,902.56 = 15,902.56 : x
2. Step 2: Convert to fraction form
   10,106.69/15,902.56 = 15,902.56/x
3. Step 3: Cross multiply
   10,106.69x = 15,902.56 × 15,902.56
4. Step 4: Simplify right side
   10,106.69x = 252,891,494.07
5. Step 5: Solve for x
   x = 252,891,494.07/10,106.69
6. Step 6: Final answer
   x = 25,022.19