Finding the Third Proportional to 31,776 and 41,786

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776 : 41,786 = 41,786 : x
2. Step 2: Convert to fraction form
   31,776/41,786 = 41,786/x
3. Step 3: Cross multiply
   31,776x = 41,786 × 41,786
4. Step 4: Simplify right side
   31,776x = 1,746,069,796
5. Step 5: Solve for x
   x = 1,746,069,796/31,776
6. Step 6: Final answer
   x = 54,949.33