Finding the Third Proportional to 19,476 and 31,642

Step by Step Solution

1. Step 1: Write the proportion equation
   19,476 : 31,642 = 31,642 : x
2. Step 2: Convert to fraction form
   19,476/31,642 = 31,642/x
3. Step 3: Cross multiply
   19,476x = 31,642 × 31,642
4. Step 4: Simplify right side
   19,476x = 1,001,216,164
5. Step 5: Solve for x
   x = 1,001,216,164/19,476
6. Step 6: Final answer
   x = 51,407.69