Finding the Third Proportional to 31,776 and 46,746

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776 : 46,746 = 46,746 : x
2. Step 2: Convert to fraction form
   31,776/46,746 = 46,746/x
3. Step 3: Cross multiply
   31,776x = 46,746 × 46,746
4. Step 4: Simplify right side
   31,776x = 2,185,188,516
5. Step 5: Solve for x
   x = 2,185,188,516/31,776
6. Step 6: Final answer
   x = 68,768.52