Finding the Third Proportional to 13,906 and 21,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,906 : 21,203.50 = 21,203.50 : x
2. Step 2: Convert to fraction form
   13,906/21,203.50 = 21,203.50/x
3. Step 3: Cross multiply
   13,906x = 21,203.50 × 21,203.50
4. Step 4: Simplify right side
   13,906x = 449,588,412.25
5. Step 5: Solve for x
   x = 449,588,412.25/13,906
6. Step 6: Final answer
   x = 32,330.53