Finding the Third Proportional to 35,976 and 55,848

Step by Step Solution

1. Step 1: Write the proportion equation
   35,976 : 55,848 = 55,848 : x
2. Step 2: Convert to fraction form
   35,976/55,848 = 55,848/x
3. Step 3: Cross multiply
   35,976x = 55,848 × 55,848
4. Step 4: Simplify right side
   35,976x = 3,118,999,104
5. Step 5: Solve for x
   x = 3,118,999,104/35,976
6. Step 6: Final answer
   x = 86,696.66