Finding the Third Proportional to 13,209 and 21,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,209 : 21,757.50 = 21,757.50 : x
2. Step 2: Convert to fraction form
   13,209/21,757.50 = 21,757.50/x
3. Step 3: Cross multiply
   13,209x = 21,757.50 × 21,757.50
4. Step 4: Simplify right side
   13,209x = 473,388,806.25
5. Step 5: Solve for x
   x = 473,388,806.25/13,209
6. Step 6: Final answer
   x = 35,838.35