Finding the Third Proportional to 31,820 and 46,796

Step by Step Solution

1. Step 1: Write the proportion equation
   31,820 : 46,796 = 46,796 : x
2. Step 2: Convert to fraction form
   31,820/46,796 = 46,796/x
3. Step 3: Cross multiply
   31,820x = 46,796 × 46,796
4. Step 4: Simplify right side
   31,820x = 2,189,865,616
5. Step 5: Solve for x
   x = 2,189,865,616/31,820
6. Step 6: Final answer
   x = 68,820.42