Finding the Third Proportional to 35,667 and 55,199

Step by Step Solution

1. Step 1: Write the proportion equation
   35,667 : 55,199 = 55,199 : x
2. Step 2: Convert to fraction form
   35,667/55,199 = 55,199/x
3. Step 3: Cross multiply
   35,667x = 55,199 × 55,199
4. Step 4: Simplify right side
   35,667x = 3,046,929,601
5. Step 5: Solve for x
   x = 3,046,929,601/35,667
6. Step 6: Final answer
   x = 85,427.13