Finding the Third Proportional to 13,721 and 21,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,721 : 21,819.50 = 21,819.50 : x
2. Step 2: Convert to fraction form
   13,721/21,819.50 = 21,819.50/x
3. Step 3: Cross multiply
   13,721x = 21,819.50 × 21,819.50
4. Step 4: Simplify right side
   13,721x = 476,090,580.25
5. Step 5: Solve for x
   x = 476,090,580.25/13,721
6. Step 6: Final answer
   x = 34,697.95