Finding the Third Proportional to 10,477.69 and 15,904.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.69 : 15,904.69 = 15,904.69 : x
2. Step 2: Convert to fraction form
   10,477.69/15,904.69 = 15,904.69/x
3. Step 3: Cross multiply
   10,477.69x = 15,904.69 × 15,904.69
4. Step 4: Simplify right side
   10,477.69x = 252,959,084.47
5. Step 5: Solve for x
   x = 252,959,084.47/10,477.69
6. Step 6: Final answer
   x = 24,142.64