Finding the Third Proportional to 34,560 and 75,600

Step by Step Solution

1. Step 1: Write the proportion equation
   34,560 : 75,600 = 75,600 : x
2. Step 2: Convert to fraction form
   34,560/75,600 = 75,600/x
3. Step 3: Cross multiply
   34,560x = 75,600 × 75,600
4. Step 4: Simplify right side
   34,560x = 5,715,360,000
5. Step 5: Solve for x
   x = 5,715,360,000/34,560
6. Step 6: Final answer
   x = 165,375