Finding the Third Proportional to 35,518 and 55,145

Step by Step Solution

1. Step 1: Write the proportion equation
   35,518 : 55,145 = 55,145 : x
2. Step 2: Convert to fraction form
   35,518/55,145 = 55,145/x
3. Step 3: Cross multiply
   35,518x = 55,145 × 55,145
4. Step 4: Simplify right side
   35,518x = 3,040,971,025
5. Step 5: Solve for x
   x = 3,040,971,025/35,518
6. Step 6: Final answer
   x = 85,617.74