Finding the Third Proportional to 35,605 and 52,858

Step by Step Solution

1. Step 1: Write the proportion equation
   35,605 : 52,858 = 52,858 : x
2. Step 2: Convert to fraction form
   35,605/52,858 = 52,858/x
3. Step 3: Cross multiply
   35,605x = 52,858 × 52,858
4. Step 4: Simplify right side
   35,605x = 2,793,968,164
5. Step 5: Solve for x
   x = 2,793,968,164/35,605
6. Step 6: Final answer
   x = 78,471.23