Finding the Third Proportional to 10,278.56 and 22,442.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.56 : 22,442.06 = 22,442.06 : x
2. Step 2: Convert to fraction form
   10,278.56/22,442.06 = 22,442.06/x
3. Step 3: Cross multiply
   10,278.56x = 22,442.06 × 22,442.06
4. Step 4: Simplify right side
   10,278.56x = 503,646,169.25
5. Step 5: Solve for x
   x = 503,646,169.25/10,278.56
6. Step 6: Final answer
   x = 48,999.67