Finding the Third Proportional to 34,182 and 75,084

Step by Step Solution

1. Step 1: Write the proportion equation
   34,182 : 75,084 = 75,084 : x
2. Step 2: Convert to fraction form
   34,182/75,084 = 75,084/x
3. Step 3: Cross multiply
   34,182x = 75,084 × 75,084
4. Step 4: Simplify right side
   34,182x = 5,637,607,056
5. Step 5: Solve for x
   x = 5,637,607,056/34,182
6. Step 6: Final answer
   x = 164,929.12