Finding the Third Proportional to 35,664 and 55,920

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664 : 55,920 = 55,920 : x
2. Step 2: Convert to fraction form
   35,664/55,920 = 55,920/x
3. Step 3: Cross multiply
   35,664x = 55,920 × 55,920
4. Step 4: Simplify right side
   35,664x = 3,127,046,400
5. Step 5: Solve for x
   x = 3,127,046,400/35,664
6. Step 6: Final answer
   x = 87,680.75