Finding the Third Proportional to 19,968 and 31,046

Step by Step Solution

1. Step 1: Write the proportion equation
   19,968 : 31,046 = 31,046 : x
2. Step 2: Convert to fraction form
   19,968/31,046 = 31,046/x
3. Step 3: Cross multiply
   19,968x = 31,046 × 31,046
4. Step 4: Simplify right side
   19,968x = 963,854,116
5. Step 5: Solve for x
   x = 963,854,116/19,968
6. Step 6: Final answer
   x = 48,269.94