Finding the Third Proportional to 52,840 and 71,968

Step by Step Solution

1. Step 1: Write the proportion equation
   52,840 : 71,968 = 71,968 : x
2. Step 2: Convert to fraction form
   52,840/71,968 = 71,968/x
3. Step 3: Cross multiply
   52,840x = 71,968 × 71,968
4. Step 4: Simplify right side
   52,840x = 5,179,393,024
5. Step 5: Solve for x
   x = 5,179,393,024/52,840
6. Step 6: Final answer
   x = 98,020.31