Finding the Third Proportional to 13,238.50 and 19,549.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,238.50 : 19,549.75 = 19,549.75 : x
2. Step 2: Convert to fraction form
   13,238.50/19,549.75 = 19,549.75/x
3. Step 3: Cross multiply
   13,238.50x = 19,549.75 × 19,549.75
4. Step 4: Simplify right side
   13,238.50x = 382,192,725.06
5. Step 5: Solve for x
   x = 382,192,725.06/13,238.50
6. Step 6: Final answer
   x = 28,869.79