Finding the Third Proportional to 10,175.63 and 13,410.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,175.63 : 13,410.56 = 13,410.56 : x
2. Step 2: Convert to fraction form
   10,175.63/13,410.56 = 13,410.56/x
3. Step 3: Cross multiply
   10,175.63x = 13,410.56 × 13,410.56
4. Step 4: Simplify right side
   10,175.63x = 179,843,186.57
5. Step 5: Solve for x
   x = 179,843,186.57/10,175.63
6. Step 6: Final answer
   x = 17,673.92