Finding the Third Proportional to 10,254.41 and 22,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.41 : 22,406.78 = 22,406.78 : x
2. Step 2: Convert to fraction form
   10,254.41/22,406.78 = 22,406.78/x
3. Step 3: Cross multiply
   10,254.41x = 22,406.78 × 22,406.78
4. Step 4: Simplify right side
   10,254.41x = 502,063,933.51
5. Step 5: Solve for x
   x = 502,063,933.51/10,254.41
6. Step 6: Final answer
   x = 48,960.78