Finding the Third Proportional to 14,008.50 and 21,690

Step by Step Solution

1. Step 1: Write the proportion equation
   14,008.50 : 21,690 = 21,690 : x
2. Step 2: Convert to fraction form
   14,008.50/21,690 = 21,690/x
3. Step 3: Cross multiply
   14,008.50x = 21,690 × 21,690
4. Step 4: Simplify right side
   14,008.50x = 470,456,100
5. Step 5: Solve for x
   x = 470,456,100/14,008.50
6. Step 6: Final answer
   x = 33,583.62