Finding the Third Proportional to 31,144 and 41,964

Step by Step Solution

1. Step 1: Write the proportion equation
   31,144 : 41,964 = 41,964 : x
2. Step 2: Convert to fraction form
   31,144/41,964 = 41,964/x
3. Step 3: Cross multiply
   31,144x = 41,964 × 41,964
4. Step 4: Simplify right side
   31,144x = 1,760,977,296
5. Step 5: Solve for x
   x = 1,760,977,296/31,144
6. Step 6: Final answer
   x = 56,543.07