Finding the Third Proportional to 34,560 and 38,160

Step by Step Solution

1. Step 1: Write the proportion equation
   34,560 : 38,160 = 38,160 : x
2. Step 2: Convert to fraction form
   34,560/38,160 = 38,160/x
3. Step 3: Cross multiply
   34,560x = 38,160 × 38,160
4. Step 4: Simplify right side
   34,560x = 1,456,185,600
5. Step 5: Solve for x
   x = 1,456,185,600/34,560
6. Step 6: Final answer
   x = 42,135