Finding the Third Proportional to 13,837.69 and 19,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.69 : 19,417.50 = 19,417.50 : x
2. Step 2: Convert to fraction form
   13,837.69/19,417.50 = 19,417.50/x
3. Step 3: Cross multiply
   13,837.69x = 19,417.50 × 19,417.50
4. Step 4: Simplify right side
   13,837.69x = 377,039,306.25
5. Step 5: Solve for x
   x = 377,039,306.25/13,837.69
6. Step 6: Final answer
   x = 27,247.28