Finding the Third Proportional to 13,209 and 19,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,209 : 19,549.50 = 19,549.50 : x
2. Step 2: Convert to fraction form
   13,209/19,549.50 = 19,549.50/x
3. Step 3: Cross multiply
   13,209x = 19,549.50 × 19,549.50
4. Step 4: Simplify right side
   13,209x = 382,182,950.25
5. Step 5: Solve for x
   x = 382,182,950.25/13,209
6. Step 6: Final answer
   x = 28,933.53