Finding the Third Proportional to 52,827 and 71,949

Step by Step Solution

1. Step 1: Write the proportion equation
   52,827 : 71,949 = 71,949 : x
2. Step 2: Convert to fraction form
   52,827/71,949 = 71,949/x
3. Step 3: Cross multiply
   52,827x = 71,949 × 71,949
4. Step 4: Simplify right side
   52,827x = 5,176,658,601
5. Step 5: Solve for x
   x = 5,176,658,601/52,827
6. Step 6: Final answer
   x = 97,992.67