Finding the Third Proportional to 10,307.81 and 15,400.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,307.81 : 15,400.69 = 15,400.69 : x
2. Step 2: Convert to fraction form
   10,307.81/15,400.69 = 15,400.69/x
3. Step 3: Cross multiply
   10,307.81x = 15,400.69 × 15,400.69
4. Step 4: Simplify right side
   10,307.81x = 237,181,175.47
5. Step 5: Solve for x
   x = 237,181,175.47/10,307.81
6. Step 6: Final answer
   x = 23,009.85