Finding the Third Proportional to 35,668 and 55,199

Step by Step Solution

1. Step 1: Write the proportion equation
   35,668 : 55,199 = 55,199 : x
2. Step 2: Convert to fraction form
   35,668/55,199 = 55,199/x
3. Step 3: Cross multiply
   35,668x = 55,199 × 55,199
4. Step 4: Simplify right side
   35,668x = 3,046,929,601
5. Step 5: Solve for x
   x = 3,046,929,601/35,668
6. Step 6: Final answer
   x = 85,424.74