Finding the Third Proportional to 31,644 and 44,442

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 44,442 = 44,442 : x
2. Step 2: Convert to fraction form
   31,644/44,442 = 44,442/x
3. Step 3: Cross multiply
   31,644x = 44,442 × 44,442
4. Step 4: Simplify right side
   31,644x = 1,975,091,364
5. Step 5: Solve for x
   x = 1,975,091,364/31,644
6. Step 6: Final answer
   x = 62,415.98