Finding the Third Proportional to 34,560 and 53,856

Step by Step Solution

1. Step 1: Write the proportion equation
   34,560 : 53,856 = 53,856 : x
2. Step 2: Convert to fraction form
   34,560/53,856 = 53,856/x
3. Step 3: Cross multiply
   34,560x = 53,856 × 53,856
4. Step 4: Simplify right side
   34,560x = 2,900,468,736
5. Step 5: Solve for x
   x = 2,900,468,736/34,560
6. Step 6: Final answer
   x = 83,925.60