Finding the Third Proportional to 35,664 and 55,192

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664 : 55,192 = 55,192 : x
2. Step 2: Convert to fraction form
   35,664/55,192 = 55,192/x
3. Step 3: Cross multiply
   35,664x = 55,192 × 55,192
4. Step 4: Simplify right side
   35,664x = 3,046,156,864
5. Step 5: Solve for x
   x = 3,046,156,864/35,664
6. Step 6: Final answer
   x = 85,412.65