Finding the Third Proportional to 10,181.81 and 15,765.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,181.81 : 15,765.38 = 15,765.38 : x
2. Step 2: Convert to fraction form
   10,181.81/15,765.38 = 15,765.38/x
3. Step 3: Cross multiply
   10,181.81x = 15,765.38 × 15,765.38
4. Step 4: Simplify right side
   10,181.81x = 248,547,048.89
5. Step 5: Solve for x
   x = 248,547,048.89/10,181.81
6. Step 6: Final answer
   x = 24,410.88