Finding the Third Proportional to 10,259.16 and 20,882.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.16 : 20,882.81 = 20,882.81 : x
2. Step 2: Convert to fraction form
   10,259.16/20,882.81 = 20,882.81/x
3. Step 3: Cross multiply
   10,259.16x = 20,882.81 × 20,882.81
4. Step 4: Simplify right side
   10,259.16x = 436,091,857.91
5. Step 5: Solve for x
   x = 436,091,857.91/10,259.16
6. Step 6: Final answer
   x = 42,507.58