Finding the Third Proportional to 14,004 and 21,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,004 : 21,683.25 = 21,683.25 : x
2. Step 2: Convert to fraction form
   14,004/21,683.25 = 21,683.25/x
3. Step 3: Cross multiply
   14,004x = 21,683.25 × 21,683.25
4. Step 4: Simplify right side
   14,004x = 470,163,330.56
5. Step 5: Solve for x
   x = 470,163,330.56/14,004
6. Step 6: Final answer
   x = 33,573.50