Finding the Third Proportional to 14,688 and 34,644

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 34,644 = 34,644 : x
2. Step 2: Convert to fraction form
   14,688/34,644 = 34,644/x
3. Step 3: Cross multiply
   14,688x = 34,644 × 34,644
4. Step 4: Simplify right side
   14,688x = 1,200,206,736
5. Step 5: Solve for x
   x = 1,200,206,736/14,688
6. Step 6: Final answer
   x = 81,713.42