Finding the Third Proportional to 52,014 and 82,773

Step by Step Solution

1. Step 1: Write the proportion equation
   52,014 : 82,773 = 82,773 : x
2. Step 2: Convert to fraction form
   52,014/82,773 = 82,773/x
3. Step 3: Cross multiply
   52,014x = 82,773 × 82,773
4. Step 4: Simplify right side
   52,014x = 6,851,369,529
5. Step 5: Solve for x
   x = 6,851,369,529/52,014
6. Step 6: Final answer
   x = 131,721.64