Finding the Third Proportional to 34,866 and 75,456

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 75,456 = 75,456 : x
2. Step 2: Convert to fraction form
   34,866/75,456 = 75,456/x
3. Step 3: Cross multiply
   34,866x = 75,456 × 75,456
4. Step 4: Simplify right side
   34,866x = 5,693,607,936
5. Step 5: Solve for x
   x = 5,693,607,936/34,866
6. Step 6: Final answer
   x = 163,299.72