Finding the Third Proportional to 34,369 and 75,380

Step by Step Solution

1. Step 1: Write the proportion equation
   34,369 : 75,380 = 75,380 : x
2. Step 2: Convert to fraction form
   34,369/75,380 = 75,380/x
3. Step 3: Cross multiply
   34,369x = 75,380 × 75,380
4. Step 4: Simplify right side
   34,369x = 5,682,144,400
5. Step 5: Solve for x
   x = 5,682,144,400/34,369
6. Step 6: Final answer
   x = 165,327.60