Finding the Third Proportional to 10,261 and 22,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261 : 22,142 = 22,142 : x
2. Step 2: Convert to fraction form
   10,261/22,142 = 22,142/x
3. Step 3: Cross multiply
   10,261x = 22,142 × 22,142
4. Step 4: Simplify right side
   10,261x = 490,268,164
5. Step 5: Solve for x
   x = 490,268,164/10,261
6. Step 6: Final answer
   x = 47,779.76