Finding the Third Proportional to 52,716 and 82,851

Step by Step Solution

1. Step 1: Write the proportion equation
   52,716 : 82,851 = 82,851 : x
2. Step 2: Convert to fraction form
   52,716/82,851 = 82,851/x
3. Step 3: Cross multiply
   52,716x = 82,851 × 82,851
4. Step 4: Simplify right side
   52,716x = 6,864,288,201
5. Step 5: Solve for x
   x = 6,864,288,201/52,716
6. Step 6: Final answer
   x = 130,212.61