Finding the Third Proportional to 13,729.50 and 17,837.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 17,837.72 = 17,837.72 : x
2. Step 2: Convert to fraction form
   13,729.50/17,837.72 = 17,837.72/x
3. Step 3: Cross multiply
   13,729.50x = 17,837.72 × 17,837.72
4. Step 4: Simplify right side
   13,729.50x = 318,184,210.20
5. Step 5: Solve for x
   x = 318,184,210.20/13,729.50
6. Step 6: Final answer
   x = 23,175.22