Finding the Third Proportional to 52,842 and 71,971

Step by Step Solution

1. Step 1: Write the proportion equation
   52,842 : 71,971 = 71,971 : x
2. Step 2: Convert to fraction form
   52,842/71,971 = 71,971/x
3. Step 3: Cross multiply
   52,842x = 71,971 × 71,971
4. Step 4: Simplify right side
   52,842x = 5,179,824,841
5. Step 5: Solve for x
   x = 5,179,824,841/52,842
6. Step 6: Final answer
   x = 98,024.77