Finding the Third Proportional to 52,978 and 73,446

Step by Step Solution

1. Step 1: Write the proportion equation
   52,978 : 73,446 = 73,446 : x
2. Step 2: Convert to fraction form
   52,978/73,446 = 73,446/x
3. Step 3: Cross multiply
   52,978x = 73,446 × 73,446
4. Step 4: Simplify right side
   52,978x = 5,394,314,916
5. Step 5: Solve for x
   x = 5,394,314,916/52,978
6. Step 6: Final answer
   x = 101,821.79