Finding the Third Proportional to 31,764 and 41,769

Step by Step Solution

1. Step 1: Write the proportion equation
   31,764 : 41,769 = 41,769 : x
2. Step 2: Convert to fraction form
   31,764/41,769 = 41,769/x
3. Step 3: Cross multiply
   31,764x = 41,769 × 41,769
4. Step 4: Simplify right side
   31,764x = 1,744,649,361
5. Step 5: Solve for x
   x = 1,744,649,361/31,764
6. Step 6: Final answer
   x = 54,925.37