Finding the Third Proportional to 35,172 and 55,686

Step by Step Solution

1. Step 1: Write the proportion equation
   35,172 : 55,686 = 55,686 : x
2. Step 2: Convert to fraction form
   35,172/55,686 = 55,686/x
3. Step 3: Cross multiply
   35,172x = 55,686 × 55,686
4. Step 4: Simplify right side
   35,172x = 3,100,930,596
5. Step 5: Solve for x
   x = 3,100,930,596/35,172
6. Step 6: Final answer
   x = 88,164.75