Finding the Third Proportional to 10,204.69 and 15,762.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.69 : 15,762.12 = 15,762.12 : x
2. Step 2: Convert to fraction form
   10,204.69/15,762.12 = 15,762.12/x
3. Step 3: Cross multiply
   10,204.69x = 15,762.12 × 15,762.12
4. Step 4: Simplify right side
   10,204.69x = 248,444,338.23
5. Step 5: Solve for x
   x = 248,444,338.23/10,204.69
6. Step 6: Final answer
   x = 24,346.10