Finding the Third Proportional to 31,644 and 49,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 49,416 = 49,416 : x
2. Step 2: Convert to fraction form
   31,644/49,416 = 49,416/x
3. Step 3: Cross multiply
   31,644x = 49,416 × 49,416
4. Step 4: Simplify right side
   31,644x = 2,441,941,056
5. Step 5: Solve for x
   x = 2,441,941,056/31,644
6. Step 6: Final answer
   x = 77,169.16