Finding the Third Proportional to 31,043 and 47,968

Step by Step Solution

1. Step 1: Write the proportion equation
   31,043 : 47,968 = 47,968 : x
2. Step 2: Convert to fraction form
   31,043/47,968 = 47,968/x
3. Step 3: Cross multiply
   31,043x = 47,968 × 47,968
4. Step 4: Simplify right side
   31,043x = 2,300,929,024
5. Step 5: Solve for x
   x = 2,300,929,024/31,043
6. Step 6: Final answer
   x = 74,120.70