Finding the Third Proportional to 31,178 and 43,855

Step by Step Solution

1. Step 1: Write the proportion equation
   31,178 : 43,855 = 43,855 : x
2. Step 2: Convert to fraction form
   31,178/43,855 = 43,855/x
3. Step 3: Cross multiply
   31,178x = 43,855 × 43,855
4. Step 4: Simplify right side
   31,178x = 1,923,261,025
5. Step 5: Solve for x
   x = 1,923,261,025/31,178
6. Step 6: Final answer
   x = 61,686.48