Finding the Third Proportional to 22,644 and 48,042

Step by Step Solution

1. Step 1: Write the proportion equation
   22,644 : 48,042 = 48,042 : x
2. Step 2: Convert to fraction form
   22,644/48,042 = 48,042/x
3. Step 3: Cross multiply
   22,644x = 48,042 × 48,042
4. Step 4: Simplify right side
   22,644x = 2,308,033,764
5. Step 5: Solve for x
   x = 2,308,033,764/22,644
6. Step 6: Final answer
   x = 101,926.95