Finding the Third Proportional to 33,924 and 51,462

Step by Step Solution

1. Step 1: Write the proportion equation
   33,924 : 51,462 = 51,462 : x
2. Step 2: Convert to fraction form
   33,924/51,462 = 51,462/x
3. Step 3: Cross multiply
   33,924x = 51,462 × 51,462
4. Step 4: Simplify right side
   33,924x = 2,648,337,444
5. Step 5: Solve for x
   x = 2,648,337,444/33,924
6. Step 6: Final answer
   x = 78,066.78