Finding the Third Proportional to 61,920 and 89,856

Step by Step Solution

1. Step 1: Write the proportion equation
   61,920 : 89,856 = 89,856 : x
2. Step 2: Convert to fraction form
   61,920/89,856 = 89,856/x
3. Step 3: Cross multiply
   61,920x = 89,856 × 89,856
4. Step 4: Simplify right side
   61,920x = 8,074,100,736
5. Step 5: Solve for x
   x = 8,074,100,736/61,920
6. Step 6: Final answer
   x = 130,395.68