Finding the Third Proportional to 31,784 and 41,796

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 41,796 = 41,796 : x
2. Step 2: Convert to fraction form
   31,784/41,796 = 41,796/x
3. Step 3: Cross multiply
   31,784x = 41,796 × 41,796
4. Step 4: Simplify right side
   31,784x = 1,746,905,616
5. Step 5: Solve for x
   x = 1,746,905,616/31,784
6. Step 6: Final answer
   x = 54,961.79