Finding the Third Proportional to 10,259.16 and 22,158.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.16 : 22,158.56 = 22,158.56 : x
2. Step 2: Convert to fraction form
   10,259.16/22,158.56 = 22,158.56/x
3. Step 3: Cross multiply
   10,259.16x = 22,158.56 × 22,158.56
4. Step 4: Simplify right side
   10,259.16x = 491,001,892.07
5. Step 5: Solve for x
   x = 491,001,892.07/10,259.16
6. Step 6: Final answer
   x = 47,859.87