Finding the Third Proportional to 13,037.63 and 19,838.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,037.63 : 19,838.25 = 19,838.25 : x
2. Step 2: Convert to fraction form
   13,037.63/19,838.25 = 19,838.25/x
3. Step 3: Cross multiply
   13,037.63x = 19,838.25 × 19,838.25
4. Step 4: Simplify right side
   13,037.63x = 393,556,163.06
5. Step 5: Solve for x
   x = 393,556,163.06/13,037.63
6. Step 6: Final answer
   x = 30,186.19