Finding the Third Proportional to 14,008 and 21,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,008 : 21,688.50 = 21,688.50 : x
2. Step 2: Convert to fraction form
   14,008/21,688.50 = 21,688.50/x
3. Step 3: Cross multiply
   14,008x = 21,688.50 × 21,688.50
4. Step 4: Simplify right side
   14,008x = 470,391,032.25
5. Step 5: Solve for x
   x = 470,391,032.25/14,008
6. Step 6: Final answer
   x = 33,580.17