Finding the Third Proportional to 14,643 and 31,770

Step by Step Solution

1. Step 1: Write the proportion equation
   14,643 : 31,770 = 31,770 : x
2. Step 2: Convert to fraction form
   14,643/31,770 = 31,770/x
3. Step 3: Cross multiply
   14,643x = 31,770 × 31,770
4. Step 4: Simplify right side
   14,643x = 1,009,332,900
5. Step 5: Solve for x
   x = 1,009,332,900/14,643
6. Step 6: Final answer
   x = 68,929.38