Finding the Third Proportional to 34,244 and 75,200

Step by Step Solution

1. Step 1: Write the proportion equation
   34,244 : 75,200 = 75,200 : x
2. Step 2: Convert to fraction form
   34,244/75,200 = 75,200/x
3. Step 3: Cross multiply
   34,244x = 75,200 × 75,200
4. Step 4: Simplify right side
   34,244x = 5,655,040,000
5. Step 5: Solve for x
   x = 5,655,040,000/34,244
6. Step 6: Final answer
   x = 165,139.59